Finding the Third Proportional to 125,924 and 274,002

Step by Step Solution

1. Step 1: Write the proportion equation
   125,924 : 274,002 = 274,002 : x
2. Step 2: Convert to fraction form
   125,924/274,002 = 274,002/x
3. Step 3: Cross multiply
   125,924x = 274,002 × 274,002
4. Step 4: Simplify right side
   125,924x = 75,077,096,004
5. Step 5: Solve for x
   x = 75,077,096,004/125,924
6. Step 6: Final answer
   x = 596,209.59