Finding the Third Proportional to 83,537 and 197,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,537 : 197,132.50 = 197,132.50 : x
2. Step 2: Convert to fraction form
   83,537/197,132.50 = 197,132.50/x
3. Step 3: Cross multiply
   83,537x = 197,132.50 × 197,132.50
4. Step 4: Simplify right side
   83,537x = 38,861,222,556.25
5. Step 5: Solve for x
   x = 38,861,222,556.25/83,537
6. Step 6: Final answer
   x = 465,197.73