Finding the Third Proportional to 321,792 and 423,158

Step by Step Solution

1. Step 1: Write the proportion equation
   321,792 : 423,158 = 423,158 : x
2. Step 2: Convert to fraction form
   321,792/423,158 = 423,158/x
3. Step 3: Cross multiply
   321,792x = 423,158 × 423,158
4. Step 4: Simplify right side
   321,792x = 179,062,692,964
5. Step 5: Solve for x
   x = 179,062,692,964/321,792
6. Step 6: Final answer
   x = 556,454.77