Finding the Third Proportional to 99.94 and 152.53

Step by Step Solution

1. Step 1: Write the proportion equation
   99.94 : 152.53 = 152.53 : x
2. Step 2: Convert to fraction form
   99.94/152.53 = 152.53/x
3. Step 3: Cross multiply
   99.94x = 152.53 × 152.53
4. Step 4: Simplify right side
   99.94x = 23,265.78
5. Step 5: Solve for x
   x = 23,265.78/99.94
6. Step 6: Final answer
   x = 232.80