Finding the Third Proportional to 522,300 and 781,470

Step by Step Solution

1. Step 1: Write the proportion equation
   522,300 : 781,470 = 781,470 : x
2. Step 2: Convert to fraction form
   522,300/781,470 = 781,470/x
3. Step 3: Cross multiply
   522,300x = 781,470 × 781,470
4. Step 4: Simplify right side
   522,300x = 610,695,360,900
5. Step 5: Solve for x
   x = 610,695,360,900/522,300
6. Step 6: Final answer
   x = 1,169,242.51