Finding the Third Proportional to 75,561 and 113,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,561 : 113,353.50 = 113,353.50 : x
2. Step 2: Convert to fraction form
   75,561/113,353.50 = 113,353.50/x
3. Step 3: Cross multiply
   75,561x = 113,353.50 × 113,353.50
4. Step 4: Simplify right side
   75,561x = 12,849,015,962.25
5. Step 5: Solve for x
   x = 12,849,015,962.25/75,561
6. Step 6: Final answer
   x = 170,048.25