Finding the Third Proportional to 72,816 and 113,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,816 : 113,110.50 = 113,110.50 : x
2. Step 2: Convert to fraction form
   72,816/113,110.50 = 113,110.50/x
3. Step 3: Cross multiply
   72,816x = 113,110.50 × 113,110.50
4. Step 4: Simplify right side
   72,816x = 12,793,985,210.25
5. Step 5: Solve for x
   x = 12,793,985,210.25/72,816
6. Step 6: Final answer
   x = 175,702.94