Finding the Third Proportional to 102,234.50 and 155,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,234.50 : 155,191.50 = 155,191.50 : x
2. Step 2: Convert to fraction form
   102,234.50/155,191.50 = 155,191.50/x
3. Step 3: Cross multiply
   102,234.50x = 155,191.50 × 155,191.50
4. Step 4: Simplify right side
   102,234.50x = 24,084,401,672.25
5. Step 5: Solve for x
   x = 24,084,401,672.25/102,234.50
6. Step 6: Final answer
   x = 235,579.98