Finding the Third Proportional to 83,712 and 197,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,712 : 197,575.50 = 197,575.50 : x
2. Step 2: Convert to fraction form
   83,712/197,575.50 = 197,575.50/x
3. Step 3: Cross multiply
   83,712x = 197,575.50 × 197,575.50
4. Step 4: Simplify right side
   83,712x = 39,036,078,200.25
5. Step 5: Solve for x
   x = 39,036,078,200.25/83,712
6. Step 6: Final answer
   x = 466,314.01