Finding the Third Proportional to 123,468 and 186,923.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,468 : 186,923.25 = 186,923.25 : x
2. Step 2: Convert to fraction form
   123,468/186,923.25 = 186,923.25/x
3. Step 3: Cross multiply
   123,468x = 186,923.25 × 186,923.25
4. Step 4: Simplify right side
   123,468x = 34,940,301,390.56
5. Step 5: Solve for x
   x = 34,940,301,390.56/123,468
6. Step 6: Final answer
   x = 282,990.75