Finding the Third Proportional to 42,315.75 and 100,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,315.75 : 100,256.25 = 100,256.25 : x
2. Step 2: Convert to fraction form
   42,315.75/100,256.25 = 100,256.25/x
3. Step 3: Cross multiply
   42,315.75x = 100,256.25 × 100,256.25
4. Step 4: Simplify right side
   42,315.75x = 10,051,315,664.06
5. Step 5: Solve for x
   x = 10,051,315,664.06/42,315.75
6. Step 6: Final answer
   x = 237,531.31