Finding the Third Proportional to 51,858 and 101,124

Step by Step Solution

1. Step 1: Write the proportion equation
   51,858 : 101,124 = 101,124 : x
2. Step 2: Convert to fraction form
   51,858/101,124 = 101,124/x
3. Step 3: Cross multiply
   51,858x = 101,124 × 101,124
4. Step 4: Simplify right side
   51,858x = 10,226,063,376
5. Step 5: Solve for x
   x = 10,226,063,376/51,858
6. Step 6: Final answer
   x = 197,193.56