Finding the Third Proportional to 78,382 and 112,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,382 : 112,042.50 = 112,042.50 : x
2. Step 2: Convert to fraction form
   78,382/112,042.50 = 112,042.50/x
3. Step 3: Cross multiply
   78,382x = 112,042.50 × 112,042.50
4. Step 4: Simplify right side
   78,382x = 12,553,521,806.25
5. Step 5: Solve for x
   x = 12,553,521,806.25/78,382
6. Step 6: Final answer
   x = 160,158.22