Finding the Third Proportional to 73,818 and 114,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,818 : 114,520.50 = 114,520.50 : x
2. Step 2: Convert to fraction form
   73,818/114,520.50 = 114,520.50/x
3. Step 3: Cross multiply
   73,818x = 114,520.50 × 114,520.50
4. Step 4: Simplify right side
   73,818x = 13,114,944,920.25
5. Step 5: Solve for x
   x = 13,114,944,920.25/73,818
6. Step 6: Final answer
   x = 177,665.95