Finding the Third Proportional to 102,042 and 237,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,042 : 237,217.50 = 237,217.50 : x
2. Step 2: Convert to fraction form
   102,042/237,217.50 = 237,217.50/x
3. Step 3: Cross multiply
   102,042x = 237,217.50 × 237,217.50
4. Step 4: Simplify right side
   102,042x = 56,272,142,306.25
5. Step 5: Solve for x
   x = 56,272,142,306.25/102,042
6. Step 6: Final answer
   x = 551,460.60