Finding the Third Proportional to 216,186,839,583 and 464,909,055,078

Step by Step Solution

1. Step 1: Write the proportion equation
   216,186,839,583 : 464,909,055,078 = 464,909,055,078 : x
2. Step 2: Convert to fraction form
   216,186,839,583/464,909,055,078 = 464,909,055,078/x
3. Step 3: Cross multiply
   216,186,839,583x = 464,909,055,078 × 464,909,055,078
4. Step 4: Simplify right side
   216,186,839,583x = 216,140,429,493,518,848,753,664
5. Step 5: Solve for x
   x = 216,140,429,493,518,848,753,664/216,186,839,583
6. Step 6: Final answer
   x = 999,785,324,168.80