Finding the Third Proportional to 357,706 and 501,360

Step by Step Solution

1. Step 1: Write the proportion equation
   357,706 : 501,360 = 501,360 : x
2. Step 2: Convert to fraction form
   357,706/501,360 = 501,360/x
3. Step 3: Cross multiply
   357,706x = 501,360 × 501,360
4. Step 4: Simplify right side
   357,706x = 251,361,849,600
5. Step 5: Solve for x
   x = 251,361,849,600/357,706
6. Step 6: Final answer
   x = 702,705.15