Finding the Third Proportional to 538,043,839,120 and 1,185,758,148,382

Step by Step Solution

1. Step 1: Write the proportion equation
   538,043,839,120 : 1,185,758,148,382 = 1,185,758,148,382 : x
2. Step 2: Convert to fraction form
   538,043,839,120/1,185,758,148,382 = 1,185,758,148,382/x
3. Step 3: Cross multiply
   538,043,839,120x = 1,185,758,148,382 × 1,185,758,148,382
4. Step 4: Simplify right side
   538,043,839,120x = 1,406,022,386,454,309,147,508,736
5. Step 5: Solve for x
   x = 1,406,022,386,454,309,147,508,736/538,043,839,120
6. Step 6: Final answer
   x = 2,613,211,571,670.32