Finding the Third Proportional to 78,524 and 112,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,524 : 112,152.50 = 112,152.50 : x
2. Step 2: Convert to fraction form
   78,524/112,152.50 = 112,152.50/x
3. Step 3: Cross multiply
   78,524x = 112,152.50 × 112,152.50
4. Step 4: Simplify right side
   78,524x = 12,578,183,256.25
5. Step 5: Solve for x
   x = 12,578,183,256.25/78,524
6. Step 6: Final answer
   x = 160,182.66