Finding the Third Proportional to 89,563 and 139,792

Step by Step Solution

1. Step 1: Write the proportion equation
   89,563 : 139,792 = 139,792 : x
2. Step 2: Convert to fraction form
   89,563/139,792 = 139,792/x
3. Step 3: Cross multiply
   89,563x = 139,792 × 139,792
4. Step 4: Simplify right side
   89,563x = 19,541,803,264
5. Step 5: Solve for x
   x = 19,541,803,264/89,563
6. Step 6: Final answer
   x = 218,190.58