Finding the Third Proportional to 326,256 and 501,632

Step by Step Solution

1. Step 1: Write the proportion equation
   326,256 : 501,632 = 501,632 : x
2. Step 2: Convert to fraction form
   326,256/501,632 = 501,632/x
3. Step 3: Cross multiply
   326,256x = 501,632 × 501,632
4. Step 4: Simplify right side
   326,256x = 251,634,663,424
5. Step 5: Solve for x
   x = 251,634,663,424/326,256
6. Step 6: Final answer
   x = 771,279.80