Finding the Third Proportional to 119,548.50 and 179,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,548.50 : 179,092.50 = 179,092.50 : x
2. Step 2: Convert to fraction form
   119,548.50/179,092.50 = 179,092.50/x
3. Step 3: Cross multiply
   119,548.50x = 179,092.50 × 179,092.50
4. Step 4: Simplify right side
   119,548.50x = 32,074,123,556.25
5. Step 5: Solve for x
   x = 32,074,123,556.25/119,548.50
6. Step 6: Final answer
   x = 268,293.82