Finding the Third Proportional to 123,205.50 and 179,066.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,205.50 : 179,066.25 = 179,066.25 : x
2. Step 2: Convert to fraction form
   123,205.50/179,066.25 = 179,066.25/x
3. Step 3: Cross multiply
   123,205.50x = 179,066.25 × 179,066.25
4. Step 4: Simplify right side
   123,205.50x = 32,064,721,889.06
5. Step 5: Solve for x
   x = 32,064,721,889.06/123,205.50
6. Step 6: Final answer
   x = 260,253.98