Finding the Third Proportional to 83,711.81 and 197,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,711.81 : 197,572.50 = 197,572.50 : x
2. Step 2: Convert to fraction form
   83,711.81/197,572.50 = 197,572.50/x
3. Step 3: Cross multiply
   83,711.81x = 197,572.50 × 197,572.50
4. Step 4: Simplify right side
   83,711.81x = 39,034,892,756.25
5. Step 5: Solve for x
   x = 39,034,892,756.25/83,711.81
6. Step 6: Final answer
   x = 466,300.89