Finding the Third Proportional to 109,655 and 142,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,655 : 142,915.50 = 142,915.50 : x
2. Step 2: Convert to fraction form
   109,655/142,915.50 = 142,915.50/x
3. Step 3: Cross multiply
   109,655x = 142,915.50 × 142,915.50
4. Step 4: Simplify right side
   109,655x = 20,424,840,140.25
5. Step 5: Solve for x
   x = 20,424,840,140.25/109,655
6. Step 6: Final answer
   x = 186,264.56