Finding the Third Proportional to 23,258 and 50,377

Step by Step Solution

1. Step 1: Write the proportion equation
   23,258 : 50,377 = 50,377 : x
2. Step 2: Convert to fraction form
   23,258/50,377 = 50,377/x
3. Step 3: Cross multiply
   23,258x = 50,377 × 50,377
4. Step 4: Simplify right side
   23,258x = 2,537,842,129
5. Step 5: Solve for x
   x = 2,537,842,129/23,258
6. Step 6: Final answer
   x = 109,116.95