Finding the Third Proportional to 71,745.75 and 146,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,745.75 : 146,407.50 = 146,407.50 : x
2. Step 2: Convert to fraction form
   71,745.75/146,407.50 = 146,407.50/x
3. Step 3: Cross multiply
   71,745.75x = 146,407.50 × 146,407.50
4. Step 4: Simplify right side
   71,745.75x = 21,435,156,056.25
5. Step 5: Solve for x
   x = 21,435,156,056.25/71,745.75
6. Step 6: Final answer
   x = 298,765.52