Finding the Third Proportional to 322,407 and 508,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,407 : 508,342.50 = 508,342.50 : x
2. Step 2: Convert to fraction form
   322,407/508,342.50 = 508,342.50/x
3. Step 3: Cross multiply
   322,407x = 508,342.50 × 508,342.50
4. Step 4: Simplify right side
   322,407x = 258,412,097,306.25
5. Step 5: Solve for x
   x = 258,412,097,306.25/322,407
6. Step 6: Final answer
   x = 801,508.95