Finding the Third Proportional to 148.61 and 224.86

Step by Step Solution

1. Step 1: Write the proportion equation
   148.61 : 224.86 = 224.86 : x
2. Step 2: Convert to fraction form
   148.61/224.86 = 224.86/x
3. Step 3: Cross multiply
   148.61x = 224.86 × 224.86
4. Step 4: Simplify right side
   148.61x = 50,561.74
5. Step 5: Solve for x
   x = 50,561.74/148.61
6. Step 6: Final answer
   x = 340.24