Finding the Third Proportional to 357,984 and 501,816

Step by Step Solution

1. Step 1: Write the proportion equation
   357,984 : 501,816 = 501,816 : x
2. Step 2: Convert to fraction form
   357,984/501,816 = 501,816/x
3. Step 3: Cross multiply
   357,984x = 501,816 × 501,816
4. Step 4: Simplify right side
   357,984x = 251,819,297,856
5. Step 5: Solve for x
   x = 251,819,297,856/357,984
6. Step 6: Final answer
   x = 703,437.30