Finding the Third Proportional to 321,762 and 423,123

Step by Step Solution

1. Step 1: Write the proportion equation
   321,762 : 423,123 = 423,123 : x
2. Step 2: Convert to fraction form
   321,762/423,123 = 423,123/x
3. Step 3: Cross multiply
   321,762x = 423,123 × 423,123
4. Step 4: Simplify right side
   321,762x = 179,033,073,129
5. Step 5: Solve for x
   x = 179,033,073,129/321,762
6. Step 6: Final answer
   x = 556,414.60