Finding the Third Proportional to 100.63 and 148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100.63 : 148.50 = 148.50 : x
2. Step 2: Convert to fraction form
   100.63/148.50 = 148.50/x
3. Step 3: Cross multiply
   100.63x = 148.50 × 148.50
4. Step 4: Simplify right side
   100.63x = 22,052.25
5. Step 5: Solve for x
   x = 22,052.25/100.63
6. Step 6: Final answer
   x = 219.15