Finding the Third Proportional to 307.55 and 459.42

Step by Step Solution

1. Step 1: Write the proportion equation
   307.55 : 459.42 = 459.42 : x
2. Step 2: Convert to fraction form
   307.55/459.42 = 459.42/x
3. Step 3: Cross multiply
   307.55x = 459.42 × 459.42
4. Step 4: Simplify right side
   307.55x = 211,068.46
5. Step 5: Solve for x
   x = 211,068.46/307.55
6. Step 6: Final answer
   x = 686.30