Finding the Third Proportional to 100.13 and 147.86

Step by Step Solution

1. Step 1: Write the proportion equation
   100.13 : 147.86 = 147.86 : x
2. Step 2: Convert to fraction form
   100.13/147.86 = 147.86/x
3. Step 3: Cross multiply
   100.13x = 147.86 × 147.86
4. Step 4: Simplify right side
   100.13x = 21,862.39
5. Step 5: Solve for x
   x = 21,862.39/100.13
6. Step 6: Final answer
   x = 218.35