Finding the Third Proportional to 102,672 and 137,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,672 : 137,335.50 = 137,335.50 : x
2. Step 2: Convert to fraction form
   102,672/137,335.50 = 137,335.50/x
3. Step 3: Cross multiply
   102,672x = 137,335.50 × 137,335.50
4. Step 4: Simplify right side
   102,672x = 18,861,039,560.25
5. Step 5: Solve for x
   x = 18,861,039,560.25/102,672
6. Step 6: Final answer
   x = 183,701.88