Finding the Third Proportional to 385.50 and 830.63

Step by Step Solution

1. Step 1: Write the proportion equation
   385.50 : 830.63 = 830.63 : x
2. Step 2: Convert to fraction form
   385.50/830.63 = 830.63/x
3. Step 3: Cross multiply
   385.50x = 830.63 × 830.63
4. Step 4: Simplify right side
   385.50x = 689,937.89
5. Step 5: Solve for x
   x = 689,937.89/385.50
6. Step 6: Final answer
   x = 1,789.72