Finding the Third Proportional to 322,005 and 423,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,005 : 423,553.50 = 423,553.50 : x
2. Step 2: Convert to fraction form
   322,005/423,553.50 = 423,553.50/x
3. Step 3: Cross multiply
   322,005x = 423,553.50 × 423,553.50
4. Step 4: Simplify right side
   322,005x = 179,397,567,362.25
5. Step 5: Solve for x
   x = 179,397,567,362.25/322,005
6. Step 6: Final answer
   x = 557,126.65