Finding the Third Proportional to 78,535.50 and 112,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,535.50 : 112,176.50 = 112,176.50 : x
2. Step 2: Convert to fraction form
   78,535.50/112,176.50 = 112,176.50/x
3. Step 3: Cross multiply
   78,535.50x = 112,176.50 × 112,176.50
4. Step 4: Simplify right side
   78,535.50x = 12,583,567,152.25
5. Step 5: Solve for x
   x = 12,583,567,152.25/78,535.50
6. Step 6: Final answer
   x = 160,227.76