Finding the Third Proportional to 100.50 and 157.06

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 157.06 = 157.06 : x
2. Step 2: Convert to fraction form
   100.50/157.06 = 157.06/x
3. Step 3: Cross multiply
   100.50x = 157.06 × 157.06
4. Step 4: Simplify right side
   100.50x = 24,668.63
5. Step 5: Solve for x
   x = 24,668.63/100.50
6. Step 6: Final answer
   x = 245.46