Finding the Third Proportional to 73,816 and 114,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,816 : 114,517.50 = 114,517.50 : x
2. Step 2: Convert to fraction form
   73,816/114,517.50 = 114,517.50/x
3. Step 3: Cross multiply
   73,816x = 114,517.50 × 114,517.50
4. Step 4: Simplify right side
   73,816x = 13,114,257,806.25
5. Step 5: Solve for x
   x = 13,114,257,806.25/73,816
6. Step 6: Final answer
   x = 177,661.45