Finding the Third Proportional to 54,152 and 83,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,152 : 83,686.50 = 83,686.50 : x
2. Step 2: Convert to fraction form
   54,152/83,686.50 = 83,686.50/x
3. Step 3: Cross multiply
   54,152x = 83,686.50 × 83,686.50
4. Step 4: Simplify right side
   54,152x = 7,003,430,282.25
5. Step 5: Solve for x
   x = 7,003,430,282.25/54,152
6. Step 6: Final answer
   x = 129,329.12