Finding the Third Proportional to 99.84 and 158.34

Step by Step Solution

1. Step 1: Write the proportion equation
   99.84 : 158.34 = 158.34 : x
2. Step 2: Convert to fraction form
   99.84/158.34 = 158.34/x
3. Step 3: Cross multiply
   99.84x = 158.34 × 158.34
4. Step 4: Simplify right side
   99.84x = 25,072.74
5. Step 5: Solve for x
   x = 25,072.74/99.84
6. Step 6: Final answer
   x = 251.12