Finding the Third Proportional to 123,175.69 and 185,312.81

Step by Step Solution

1. Step 1: Write the proportion equation
   123,175.69 : 185,312.81 = 185,312.81 : x
2. Step 2: Convert to fraction form
   123,175.69/185,312.81 = 185,312.81/x
3. Step 3: Cross multiply
   123,175.69x = 185,312.81 × 185,312.81
4. Step 4: Simplify right side
   123,175.69x = 34,340,838,476.66
5. Step 5: Solve for x
   x = 34,340,838,476.66/123,175.69
6. Step 6: Final answer
   x = 278,795.59