Finding the Third Proportional to 307.83 and 461.72

Step by Step Solution

1. Step 1: Write the proportion equation
   307.83 : 461.72 = 461.72 : x
2. Step 2: Convert to fraction form
   307.83/461.72 = 461.72/x
3. Step 3: Cross multiply
   307.83x = 461.72 × 461.72
4. Step 4: Simplify right side
   307.83x = 213,184.20
5. Step 5: Solve for x
   x = 213,184.20/307.83
6. Step 6: Final answer
   x = 692.54