Finding the Third Proportional to 357.31 and 780.38

Step by Step Solution

1. Step 1: Write the proportion equation
   357.31 : 780.38 = 780.38 : x
2. Step 2: Convert to fraction form
   357.31/780.38 = 780.38/x
3. Step 3: Cross multiply
   357.31x = 780.38 × 780.38
4. Step 4: Simplify right side
   357.31x = 608,985.14
5. Step 5: Solve for x
   x = 608,985.14/357.31
6. Step 6: Final answer
   x = 1,704.35