Finding the Third Proportional to 326,088 and 501,822

Step by Step Solution

1. Step 1: Write the proportion equation
   326,088 : 501,822 = 501,822 : x
2. Step 2: Convert to fraction form
   326,088/501,822 = 501,822/x
3. Step 3: Cross multiply
   326,088x = 501,822 × 501,822
4. Step 4: Simplify right side
   326,088x = 251,825,319,684
5. Step 5: Solve for x
   x = 251,825,319,684/326,088
6. Step 6: Final answer
   x = 772,261.84