Finding the Third Proportional to 78,494 and 112,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,494 : 112,101.50 = 112,101.50 : x
2. Step 2: Convert to fraction form
   78,494/112,101.50 = 112,101.50/x
3. Step 3: Cross multiply
   78,494x = 112,101.50 × 112,101.50
4. Step 4: Simplify right side
   78,494x = 12,566,746,302.25
5. Step 5: Solve for x
   x = 12,566,746,302.25/78,494
6. Step 6: Final answer
   x = 160,098.18