Finding the Third Proportional to 321,769 and 423,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,769 : 423,127.50 = 423,127.50 : x
2. Step 2: Convert to fraction form
   321,769/423,127.50 = 423,127.50/x
3. Step 3: Cross multiply
   321,769x = 423,127.50 × 423,127.50
4. Step 4: Simplify right side
   321,769x = 179,036,881,256.25
5. Step 5: Solve for x
   x = 179,036,881,256.25/321,769
6. Step 6: Final answer
   x = 556,414.33