Finding the Third Proportional to 123,841 and 179,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,841 : 179,713.50 = 179,713.50 : x
2. Step 2: Convert to fraction form
   123,841/179,713.50 = 179,713.50/x
3. Step 3: Cross multiply
   123,841x = 179,713.50 × 179,713.50
4. Step 4: Simplify right side
   123,841x = 32,296,942,082.25
5. Step 5: Solve for x
   x = 32,296,942,082.25/123,841
6. Step 6: Final answer
   x = 260,793.62