Finding the Third Proportional to 71,943.50 and 146,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,943.50 : 146,742.50 = 146,742.50 : x
2. Step 2: Convert to fraction form
   71,943.50/146,742.50 = 146,742.50/x
3. Step 3: Cross multiply
   71,943.50x = 146,742.50 × 146,742.50
4. Step 4: Simplify right side
   71,943.50x = 21,533,361,306.25
5. Step 5: Solve for x
   x = 21,533,361,306.25/71,943.50
6. Step 6: Final answer
   x = 299,309.34