Finding the Third Proportional to 348.05 and 521.86

Step by Step Solution

1. Step 1: Write the proportion equation
   348.05 : 521.86 = 521.86 : x
2. Step 2: Convert to fraction form
   348.05/521.86 = 521.86/x
3. Step 3: Cross multiply
   348.05x = 521.86 × 521.86
4. Step 4: Simplify right side
   348.05x = 272,337.21
5. Step 5: Solve for x
   x = 272,337.21/348.05
6. Step 6: Final answer
   x = 782.47