Finding the Third Proportional to 70,256 and 102,752

Step by Step Solution

1. Step 1: Write the proportion equation
   70,256 : 102,752 = 102,752 : x
2. Step 2: Convert to fraction form
   70,256/102,752 = 102,752/x
3. Step 3: Cross multiply
   70,256x = 102,752 × 102,752
4. Step 4: Simplify right side
   70,256x = 10,557,973,504
5. Step 5: Solve for x
   x = 10,557,973,504/70,256
6. Step 6: Final answer
   x = 150,278.60