Finding the Third Proportional to 242,046,681,004 and 361,735,970,456

Step by Step Solution

1. Step 1: Write the proportion equation
   242,046,681,004 : 361,735,970,456 = 361,735,970,456 : x
2. Step 2: Convert to fraction form
   242,046,681,004/361,735,970,456 = 361,735,970,456/x
3. Step 3: Cross multiply
   242,046,681,004x = 361,735,970,456 × 361,735,970,456
4. Step 4: Simplify right side
   242,046,681,004x = 130,852,912,321,744,099,868,672
5. Step 5: Solve for x
   x = 130,852,912,321,744,099,868,672/242,046,681,004
6. Step 6: Final answer
   x = 540,610,231,790.71