Finding the Third Proportional to 123,838.88 and 186,031.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,838.88 : 186,031.69 = 186,031.69 : x
2. Step 2: Convert to fraction form
   123,838.88/186,031.69 = 186,031.69/x
3. Step 3: Cross multiply
   123,838.88x = 186,031.69 × 186,031.69
4. Step 4: Simplify right side
   123,838.88x = 34,607,788,754.10
5. Step 5: Solve for x
   x = 34,607,788,754.10/123,838.88
6. Step 6: Final answer
   x = 279,458.20