Finding the Third Proportional to 357,642 and 501,308.25

Step by Step Solution

1. Step 1: Write the proportion equation
   357,642 : 501,308.25 = 501,308.25 : x
2. Step 2: Convert to fraction form
   357,642/501,308.25 = 501,308.25/x
3. Step 3: Cross multiply
   357,642x = 501,308.25 × 501,308.25
4. Step 4: Simplify right side
   357,642x = 251,309,961,518.06
5. Step 5: Solve for x
   x = 251,309,961,518.06/357,642
6. Step 6: Final answer
   x = 702,685.82