Finding the Third Proportional to 460.69 and 737.86

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 737.86 = 737.86 : x
2. Step 2: Convert to fraction form
   460.69/737.86 = 737.86/x
3. Step 3: Cross multiply
   460.69x = 737.86 × 737.86
4. Step 4: Simplify right side
   460.69x = 544,436.46
5. Step 5: Solve for x
   x = 544,436.46/460.69
6. Step 6: Final answer
   x = 1,181.79