Finding the Third Proportional to 152.51 and 219.16

Step by Step Solution

1. Step 1: Write the proportion equation
   152.51 : 219.16 = 219.16 : x
2. Step 2: Convert to fraction form
   152.51/219.16 = 219.16/x
3. Step 3: Cross multiply
   152.51x = 219.16 × 219.16
4. Step 4: Simplify right side
   152.51x = 48,032.89
5. Step 5: Solve for x
   x = 48,032.89/152.51
6. Step 6: Final answer
   x = 314.95