Finding the Third Proportional to 49,818 and 105,711

Step by Step Solution

1. Step 1: Write the proportion equation
   49,818 : 105,711 = 105,711 : x
2. Step 2: Convert to fraction form
   49,818/105,711 = 105,711/x
3. Step 3: Cross multiply
   49,818x = 105,711 × 105,711
4. Step 4: Simplify right side
   49,818x = 11,174,815,521
5. Step 5: Solve for x
   x = 11,174,815,521/49,818
6. Step 6: Final answer
   x = 224,312.81