Finding the Third Proportional to 538,043,868,783 and 1,185,758,216,325

Step by Step Solution

1. Step 1: Write the proportion equation
   538,043,868,783 : 1,185,758,216,325 = 1,185,758,216,325 : x
2. Step 2: Convert to fraction form
   538,043,868,783/1,185,758,216,325 = 1,185,758,216,325/x
3. Step 3: Cross multiply
   538,043,868,783x = 1,185,758,216,325 × 1,185,758,216,325
4. Step 4: Simplify right side
   538,043,868,783x = 1,406,022,547,582,245,471,780,864
5. Step 5: Solve for x
   x = 1,406,022,547,582,245,471,780,864/538,043,868,783
6. Step 6: Final answer
   x = 2,613,211,727,070.74