Finding the Third Proportional to 123,822 and 186,012

Step by Step Solution

1. Step 1: Write the proportion equation
   123,822 : 186,012 = 186,012 : x
2. Step 2: Convert to fraction form
   123,822/186,012 = 186,012/x
3. Step 3: Cross multiply
   123,822x = 186,012 × 186,012
4. Step 4: Simplify right side
   123,822x = 34,600,464,144
5. Step 5: Solve for x
   x = 34,600,464,144/123,822
6. Step 6: Final answer
   x = 279,437.13