Finding the Third Proportional to 59,409 and 83,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,409 : 83,587.50 = 83,587.50 : x
2. Step 2: Convert to fraction form
   59,409/83,587.50 = 83,587.50/x
3. Step 3: Cross multiply
   59,409x = 83,587.50 × 83,587.50
4. Step 4: Simplify right side
   59,409x = 6,986,870,156.25
5. Step 5: Solve for x
   x = 6,986,870,156.25/59,409
6. Step 6: Final answer
   x = 117,606.26