Finding the Third Proportional to 216,186,839,581 and 464,909,055,074

Step by Step Solution

1. Step 1: Write the proportion equation
   216,186,839,581 : 464,909,055,074 = 464,909,055,074 : x
2. Step 2: Convert to fraction form
   216,186,839,581/464,909,055,074 = 464,909,055,074/x
3. Step 3: Cross multiply
   216,186,839,581x = 464,909,055,074 × 464,909,055,074
4. Step 4: Simplify right side
   216,186,839,581x = 216,140,429,489,799,574,847,488
5. Step 5: Solve for x
   x = 216,140,429,489,799,574,847,488/216,186,839,581
6. Step 6: Final answer
   x = 999,785,324,160.85