Finding the Third Proportional to 40,712 and 83,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,712 : 83,397.50 = 83,397.50 : x
2. Step 2: Convert to fraction form
   40,712/83,397.50 = 83,397.50/x
3. Step 3: Cross multiply
   40,712x = 83,397.50 × 83,397.50
4. Step 4: Simplify right side
   40,712x = 6,955,143,006.25
5. Step 5: Solve for x
   x = 6,955,143,006.25/40,712
6. Step 6: Final answer
   x = 170,837.66