Finding the Third Proportional to 581,175 and 781,002

Step by Step Solution

1. Step 1: Write the proportion equation
   581,175 : 781,002 = 781,002 : x
2. Step 2: Convert to fraction form
   581,175/781,002 = 781,002/x
3. Step 3: Cross multiply
   581,175x = 781,002 × 781,002
4. Step 4: Simplify right side
   581,175x = 609,964,124,004
5. Step 5: Solve for x
   x = 609,964,124,004/581,175
6. Step 6: Final answer
   x = 1,049,536.07