Finding the Third Proportional to 100.50 and 237.56

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 237.56 = 237.56 : x
2. Step 2: Convert to fraction form
   100.50/237.56 = 237.56/x
3. Step 3: Cross multiply
   100.50x = 237.56 × 237.56
4. Step 4: Simplify right side
   100.50x = 56,435.94
5. Step 5: Solve for x
   x = 56,435.94/100.50
6. Step 6: Final answer
   x = 561.55