Finding the Third Proportional to 185,149,793,792 and 401,862,931,456

Step by Step Solution

1. Step 1: Write the proportion equation
   185,149,793,792 : 401,862,931,456 = 401,862,931,456 : x
2. Step 2: Convert to fraction form
   185,149,793,792/401,862,931,456 = 401,862,931,456/x
3. Step 3: Cross multiply
   185,149,793,792x = 401,862,931,456 × 401,862,931,456
4. Step 4: Simplify right side
   185,149,793,792x = 161,493,815,678,409,744,842,752
5. Step 5: Solve for x
   x = 161,493,815,678,409,744,842,752/185,149,793,792
6. Step 6: Final answer
   x = 872,233,300,242.47