Finding the Third Proportional to 147,781 and 223,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,781 : 223,223.50 = 223,223.50 : x
2. Step 2: Convert to fraction form
   147,781/223,223.50 = 223,223.50/x
3. Step 3: Cross multiply
   147,781x = 223,223.50 × 223,223.50
4. Step 4: Simplify right side
   147,781x = 49,828,730,952.25
5. Step 5: Solve for x
   x = 49,828,730,952.25/147,781
6. Step 6: Final answer
   x = 337,179.55