Finding the Third Proportional to 353,142 and 772,301.25

Step by Step Solution

1. Step 1: Write the proportion equation
   353,142 : 772,301.25 = 772,301.25 : x
2. Step 2: Convert to fraction form
   353,142/772,301.25 = 772,301.25/x
3. Step 3: Cross multiply
   353,142x = 772,301.25 × 772,301.25
4. Step 4: Simplify right side
   353,142x = 596,449,220,751.56
5. Step 5: Solve for x
   x = 596,449,220,751.56/353,142
6. Step 6: Final answer
   x = 1,688,978.43