Finding the Third Proportional to 123,470.50 and 186,927

Step by Step Solution

1. Step 1: Write the proportion equation
   123,470.50 : 186,927 = 186,927 : x
2. Step 2: Convert to fraction form
   123,470.50/186,927 = 186,927/x
3. Step 3: Cross multiply
   123,470.50x = 186,927 × 186,927
4. Step 4: Simplify right side
   123,470.50x = 34,941,703,329
5. Step 5: Solve for x
   x = 34,941,703,329/123,470.50
6. Step 6: Final answer
   x = 282,996.37