Finding the Third Proportional to 102,245 and 155,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,245 : 155,209.50 = 155,209.50 : x
2. Step 2: Convert to fraction form
   102,245/155,209.50 = 155,209.50/x
3. Step 3: Cross multiply
   102,245x = 155,209.50 × 155,209.50
4. Step 4: Simplify right side
   102,245x = 24,089,988,890.25
5. Step 5: Solve for x
   x = 24,089,988,890.25/102,245
6. Step 6: Final answer
   x = 235,610.43