Finding the Third Proportional to 123,644 and 186,046

Step by Step Solution

1. Step 1: Write the proportion equation
   123,644 : 186,046 = 186,046 : x
2. Step 2: Convert to fraction form
   123,644/186,046 = 186,046/x
3. Step 3: Cross multiply
   123,644x = 186,046 × 186,046
4. Step 4: Simplify right side
   123,644x = 34,613,114,116
5. Step 5: Solve for x
   x = 34,613,114,116/123,644
6. Step 6: Final answer
   x = 279,941.72