Finding the Third Proportional to 102,024 and 237,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,024 : 237,172.50 = 237,172.50 : x
2. Step 2: Convert to fraction form
   102,024/237,172.50 = 237,172.50/x
3. Step 3: Cross multiply
   102,024x = 237,172.50 × 237,172.50
4. Step 4: Simplify right side
   102,024x = 56,250,794,756.25
5. Step 5: Solve for x
   x = 56,250,794,756.25/102,024
6. Step 6: Final answer
   x = 551,348.65