Finding the Third Proportional to 101.50 and 152.13

Step by Step Solution

1. Step 1: Write the proportion equation
   101.50 : 152.13 = 152.13 : x
2. Step 2: Convert to fraction form
   101.50/152.13 = 152.13/x
3. Step 3: Cross multiply
   101.50x = 152.13 × 152.13
4. Step 4: Simplify right side
   101.50x = 23,142.02
5. Step 5: Solve for x
   x = 23,142.02/101.50
6. Step 6: Final answer
   x = 228.00