Finding the Third Proportional to 72,909 and 114,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,909 : 114,223.50 = 114,223.50 : x
2. Step 2: Convert to fraction form
   72,909/114,223.50 = 114,223.50/x
3. Step 3: Cross multiply
   72,909x = 114,223.50 × 114,223.50
4. Step 4: Simplify right side
   72,909x = 13,047,007,952.25
5. Step 5: Solve for x
   x = 13,047,007,952.25/72,909
6. Step 6: Final answer
   x = 178,949.21