Finding the Third Proportional to 81,584 and 109,792

Step by Step Solution

1. Step 1: Write the proportion equation
   81,584 : 109,792 = 109,792 : x
2. Step 2: Convert to fraction form
   81,584/109,792 = 109,792/x
3. Step 3: Cross multiply
   81,584x = 109,792 × 109,792
4. Step 4: Simplify right side
   81,584x = 12,054,283,264
5. Step 5: Solve for x
   x = 12,054,283,264/81,584
6. Step 6: Final answer
   x = 147,753.03