Finding the Third Proportional to 114.61 and 152.86

Step by Step Solution

1. Step 1: Write the proportion equation
   114.61 : 152.86 = 152.86 : x
2. Step 2: Convert to fraction form
   114.61/152.86 = 152.86/x
3. Step 3: Cross multiply
   114.61x = 152.86 × 152.86
4. Step 4: Simplify right side
   114.61x = 23,365.99
5. Step 5: Solve for x
   x = 23,365.99/114.61
6. Step 6: Final answer
   x = 203.88