Finding the Third Proportional to 96,698.34 and 147,826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   96,698.34 : 147,826.88 = 147,826.88 : x
2. Step 2: Convert to fraction form
   96,698.34/147,826.88 = 147,826.88/x
3. Step 3: Cross multiply
   96,698.34x = 147,826.88 × 147,826.88
4. Step 4: Simplify right side
   96,698.34x = 21,852,784,972.27
5. Step 5: Solve for x
   x = 21,852,784,972.27/96,698.34
6. Step 6: Final answer
   x = 225,989.24