Finding the Third Proportional to 59,706 and 83,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,706 : 83,686.50 = 83,686.50 : x
2. Step 2: Convert to fraction form
   59,706/83,686.50 = 83,686.50/x
3. Step 3: Cross multiply
   59,706x = 83,686.50 × 83,686.50
4. Step 4: Simplify right side
   59,706x = 7,003,430,282.25
5. Step 5: Solve for x
   x = 7,003,430,282.25/59,706
6. Step 6: Final answer
   x = 117,298.60