Finding the Third Proportional to 49,594 and 109,016

Step by Step Solution

1. Step 1: Write the proportion equation
   49,594 : 109,016 = 109,016 : x
2. Step 2: Convert to fraction form
   49,594/109,016 = 109,016/x
3. Step 3: Cross multiply
   49,594x = 109,016 × 109,016
4. Step 4: Simplify right side
   49,594x = 11,884,488,256
5. Step 5: Solve for x
   x = 11,884,488,256/49,594
6. Step 6: Final answer
   x = 239,635.61