Finding the Third Proportional to 96,354 and 148,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,354 : 148,288.50 = 148,288.50 : x
2. Step 2: Convert to fraction form
   96,354/148,288.50 = 148,288.50/x
3. Step 3: Cross multiply
   96,354x = 148,288.50 × 148,288.50
4. Step 4: Simplify right side
   96,354x = 21,989,479,232.25
5. Step 5: Solve for x
   x = 21,989,479,232.25/96,354
6. Step 6: Final answer
   x = 228,215.53