Finding the Third Proportional to 123,229 and 185,388

Step by Step Solution

1. Step 1: Write the proportion equation
   123,229 : 185,388 = 185,388 : x
2. Step 2: Convert to fraction form
   123,229/185,388 = 185,388/x
3. Step 3: Cross multiply
   123,229x = 185,388 × 185,388
4. Step 4: Simplify right side
   123,229x = 34,368,710,544
5. Step 5: Solve for x
   x = 34,368,710,544/123,229
6. Step 6: Final answer
   x = 278,901.16