Finding the Third Proportional to 125,806.50 and 187,002

Step by Step Solution

1. Step 1: Write the proportion equation
   125,806.50 : 187,002 = 187,002 : x
2. Step 2: Convert to fraction form
   125,806.50/187,002 = 187,002/x
3. Step 3: Cross multiply
   125,806.50x = 187,002 × 187,002
4. Step 4: Simplify right side
   125,806.50x = 34,969,748,004
5. Step 5: Solve for x
   x = 34,969,748,004/125,806.50
6. Step 6: Final answer
   x = 277,964.56