Finding the Third Proportional to 109,632 and 148,554

Step by Step Solution

1. Step 1: Write the proportion equation
   109,632 : 148,554 = 148,554 : x
2. Step 2: Convert to fraction form
   109,632/148,554 = 148,554/x
3. Step 3: Cross multiply
   109,632x = 148,554 × 148,554
4. Step 4: Simplify right side
   109,632x = 22,068,290,916
5. Step 5: Solve for x
   x = 22,068,290,916/109,632
6. Step 6: Final answer
   x = 201,294.25