Finding the Third Proportional to 67,540.50 and 146,972.75

Step by Step Solution

1. Step 1: Write the proportion equation
   67,540.50 : 146,972.75 = 146,972.75 : x
2. Step 2: Convert to fraction form
   67,540.50/146,972.75 = 146,972.75/x
3. Step 3: Cross multiply
   67,540.50x = 146,972.75 × 146,972.75
4. Step 4: Simplify right side
   67,540.50x = 21,600,989,242.56
5. Step 5: Solve for x
   x = 21,600,989,242.56/67,540.50
6. Step 6: Final answer
   x = 319,822.76