Finding the Third Proportional to 51,878 and 101,164

Step by Step Solution

1. Step 1: Write the proportion equation
   51,878 : 101,164 = 101,164 : x
2. Step 2: Convert to fraction form
   51,878/101,164 = 101,164/x
3. Step 3: Cross multiply
   51,878x = 101,164 × 101,164
4. Step 4: Simplify right side
   51,878x = 10,234,154,896
5. Step 5: Solve for x
   x = 10,234,154,896/51,878
6. Step 6: Final answer
   x = 197,273.51