Finding the Third Proportional to 402,164 and 622,140

Step by Step Solution

1. Step 1: Write the proportion equation
   402,164 : 622,140 = 622,140 : x
2. Step 2: Convert to fraction form
   402,164/622,140 = 622,140/x
3. Step 3: Cross multiply
   402,164x = 622,140 × 622,140
4. Step 4: Simplify right side
   402,164x = 387,058,179,600
5. Step 5: Solve for x
   x = 387,058,179,600/402,164
6. Step 6: Final answer
   x = 962,438.66