Finding the Third Proportional to 123,390 and 186,603.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,390 : 186,603.75 = 186,603.75 : x
2. Step 2: Convert to fraction form
   123,390/186,603.75 = 186,603.75/x
3. Step 3: Cross multiply
   123,390x = 186,603.75 × 186,603.75
4. Step 4: Simplify right side
   123,390x = 34,820,959,514.06
5. Step 5: Solve for x
   x = 34,820,959,514.06/123,390
6. Step 6: Final answer
   x = 282,202.44