Finding the Third Proportional to 58,256 and 85,470

Step by Step Solution

1. Step 1: Write the proportion equation
   58,256 : 85,470 = 85,470 : x
2. Step 2: Convert to fraction form
   58,256/85,470 = 85,470/x
3. Step 3: Cross multiply
   58,256x = 85,470 × 85,470
4. Step 4: Simplify right side
   58,256x = 7,305,120,900
5. Step 5: Solve for x
   x = 7,305,120,900/58,256
6. Step 6: Final answer
   x = 125,396.88