Finding the Third Proportional to 78,537.50 and 112,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,537.50 : 112,179.50 = 112,179.50 : x
2. Step 2: Convert to fraction form
   78,537.50/112,179.50 = 112,179.50/x
3. Step 3: Cross multiply
   78,537.50x = 112,179.50 × 112,179.50
4. Step 4: Simplify right side
   78,537.50x = 12,584,240,220.25
5. Step 5: Solve for x
   x = 12,584,240,220.25/78,537.50
6. Step 6: Final answer
   x = 160,232.25