Finding the Third Proportional to 96,535 and 147,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,535 : 147,674.50 = 147,674.50 : x
2. Step 2: Convert to fraction form
   96,535/147,674.50 = 147,674.50/x
3. Step 3: Cross multiply
   96,535x = 147,674.50 × 147,674.50
4. Step 4: Simplify right side
   96,535x = 21,807,757,950.25
5. Step 5: Solve for x
   x = 21,807,757,950.25/96,535
6. Step 6: Final answer
   x = 225,905.19