Finding the Third Proportional to 48,582 and 105,711

Step by Step Solution

1. Step 1: Write the proportion equation
   48,582 : 105,711 = 105,711 : x
2. Step 2: Convert to fraction form
   48,582/105,711 = 105,711/x
3. Step 3: Cross multiply
   48,582x = 105,711 × 105,711
4. Step 4: Simplify right side
   48,582x = 11,174,815,521
5. Step 5: Solve for x
   x = 11,174,815,521/48,582
6. Step 6: Final answer
   x = 230,019.67