Finding the Third Proportional to 48,139 and 105,578

Step by Step Solution

1. Step 1: Write the proportion equation
   48,139 : 105,578 = 105,578 : x
2. Step 2: Convert to fraction form
   48,139/105,578 = 105,578/x
3. Step 3: Cross multiply
   48,139x = 105,578 × 105,578
4. Step 4: Simplify right side
   48,139x = 11,146,714,084
5. Step 5: Solve for x
   x = 11,146,714,084/48,139
6. Step 6: Final answer
   x = 231,552.67