Finding the Third Proportional to 96,591.50 and 147,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,591.50 : 147,756.50 = 147,756.50 : x
2. Step 2: Convert to fraction form
   96,591.50/147,756.50 = 147,756.50/x
3. Step 3: Cross multiply
   96,591.50x = 147,756.50 × 147,756.50
4. Step 4: Simplify right side
   96,591.50x = 21,831,983,292.25
5. Step 5: Solve for x
   x = 21,831,983,292.25/96,591.50
6. Step 6: Final answer
   x = 226,023.86