Finding the Third Proportional to 100,638 and 141,054

Step by Step Solution

1. Step 1: Write the proportion equation
   100,638 : 141,054 = 141,054 : x
2. Step 2: Convert to fraction form
   100,638/141,054 = 141,054/x
3. Step 3: Cross multiply
   100,638x = 141,054 × 141,054
4. Step 4: Simplify right side
   100,638x = 19,896,230,916
5. Step 5: Solve for x
   x = 19,896,230,916/100,638
6. Step 6: Final answer
   x = 197,700.98