Finding the Third Proportional to 379.50 and 832.88

Step by Step Solution

1. Step 1: Write the proportion equation
   379.50 : 832.88 = 832.88 : x
2. Step 2: Convert to fraction form
   379.50/832.88 = 832.88/x
3. Step 3: Cross multiply
   379.50x = 832.88 × 832.88
4. Step 4: Simplify right side
   379.50x = 693,680.77
5. Step 5: Solve for x
   x = 693,680.77/379.50
6. Step 6: Final answer
   x = 1,827.88