Finding the Third Proportional to 123,469.50 and 186,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,469.50 : 186,925.50 = 186,925.50 : x
2. Step 2: Convert to fraction form
   123,469.50/186,925.50 = 186,925.50/x
3. Step 3: Cross multiply
   123,469.50x = 186,925.50 × 186,925.50
4. Step 4: Simplify right side
   123,469.50x = 34,941,142,550.25
5. Step 5: Solve for x
   x = 34,941,142,550.25/123,469.50
6. Step 6: Final answer
   x = 282,994.12