Finding the Third Proportional to 102,393 and 155,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,393 : 155,020.50 = 155,020.50 : x
2. Step 2: Convert to fraction form
   102,393/155,020.50 = 155,020.50/x
3. Step 3: Cross multiply
   102,393x = 155,020.50 × 155,020.50
4. Step 4: Simplify right side
   102,393x = 24,031,355,420.25
5. Step 5: Solve for x
   x = 24,031,355,420.25/102,393
6. Step 6: Final answer
   x = 234,697.25