Finding the Third Proportional to 216,186,839,577 and 464,909,055,066

Step by Step Solution

1. Step 1: Write the proportion equation
   216,186,839,577 : 464,909,055,066 = 464,909,055,066 : x
2. Step 2: Convert to fraction form
   216,186,839,577/464,909,055,066 = 464,909,055,066/x
3. Step 3: Cross multiply
   216,186,839,577x = 464,909,055,066 × 464,909,055,066
4. Step 4: Simplify right side
   216,186,839,577x = 216,140,429,482,361,027,035,136
5. Step 5: Solve for x
   x = 216,140,429,482,361,027,035,136/216,186,839,577
6. Step 6: Final answer
   x = 999,785,324,144.94