Finding the Third Proportional to 123,292 and 185,646

Step by Step Solution

1. Step 1: Write the proportion equation
   123,292 : 185,646 = 185,646 : x
2. Step 2: Convert to fraction form
   123,292/185,646 = 185,646/x
3. Step 3: Cross multiply
   123,292x = 185,646 × 185,646
4. Step 4: Simplify right side
   123,292x = 34,464,437,316
5. Step 5: Solve for x
   x = 34,464,437,316/123,292
6. Step 6: Final answer
   x = 279,535.07