Finding the Third Proportional to 123,784.88 and 186,860.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,784.88 : 186,860.25 = 186,860.25 : x
2. Step 2: Convert to fraction form
   123,784.88/186,860.25 = 186,860.25/x
3. Step 3: Cross multiply
   123,784.88x = 186,860.25 × 186,860.25
4. Step 4: Simplify right side
   123,784.88x = 34,916,753,030.06
5. Step 5: Solve for x
   x = 34,916,753,030.06/123,784.88
6. Step 6: Final answer
   x = 282,076.09