Finding the Third Proportional to 379.50 and 830.06

Step by Step Solution

1. Step 1: Write the proportion equation
   379.50 : 830.06 = 830.06 : x
2. Step 2: Convert to fraction form
   379.50/830.06 = 830.06/x
3. Step 3: Cross multiply
   379.50x = 830.06 × 830.06
4. Step 4: Simplify right side
   379.50x = 689,003.75
5. Step 5: Solve for x
   x = 689,003.75/379.50
6. Step 6: Final answer
   x = 1,815.56