Finding the Third Proportional to 89,406 and 191,792

Step by Step Solution

1. Step 1: Write the proportion equation
   89,406 : 191,792 = 191,792 : x
2. Step 2: Convert to fraction form
   89,406/191,792 = 191,792/x
3. Step 3: Cross multiply
   89,406x = 191,792 × 191,792
4. Step 4: Simplify right side
   89,406x = 36,784,171,264
5. Step 5: Solve for x
   x = 36,784,171,264/89,406
6. Step 6: Final answer
   x = 411,428.44