Finding the Third Proportional to 123,425 and 186,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,425 : 186,868.50 = 186,868.50 : x
2. Step 2: Convert to fraction form
   123,425/186,868.50 = 186,868.50/x
3. Step 3: Cross multiply
   123,425x = 186,868.50 × 186,868.50
4. Step 4: Simplify right side
   123,425x = 34,919,836,292.25
5. Step 5: Solve for x
   x = 34,919,836,292.25/123,425
6. Step 6: Final answer
   x = 282,923.53