Finding the Third Proportional to 96,586.50 and 147,750

Step by Step Solution

1. Step 1: Write the proportion equation
   96,586.50 : 147,750 = 147,750 : x
2. Step 2: Convert to fraction form
   96,586.50/147,750 = 147,750/x
3. Step 3: Cross multiply
   96,586.50x = 147,750 × 147,750
4. Step 4: Simplify right side
   96,586.50x = 21,830,062,500
5. Step 5: Solve for x
   x = 21,830,062,500/96,586.50
6. Step 6: Final answer
   x = 226,015.67