Finding the Third Proportional to 530.98 and 820.15

Step by Step Solution

1. Step 1: Write the proportion equation
   530.98 : 820.15 = 820.15 : x
2. Step 2: Convert to fraction form
   530.98/820.15 = 820.15/x
3. Step 3: Cross multiply
   530.98x = 820.15 × 820.15
4. Step 4: Simplify right side
   530.98x = 672,643.46
5. Step 5: Solve for x
   x = 672,643.46/530.98
6. Step 6: Final answer
   x = 1,266.80