Finding the Third Proportional to 81,742.50 and 112,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,742.50 : 112,567.50 = 112,567.50 : x
2. Step 2: Convert to fraction form
   81,742.50/112,567.50 = 112,567.50/x
3. Step 3: Cross multiply
   81,742.50x = 112,567.50 × 112,567.50
4. Step 4: Simplify right side
   81,742.50x = 12,671,442,056.25
5. Step 5: Solve for x
   x = 12,671,442,056.25/81,742.50
6. Step 6: Final answer
   x = 155,016.57