Finding the Third Proportional to 107,874 and 234,570.38

Step by Step Solution

1. Step 1: Write the proportion equation
   107,874 : 234,570.38 = 234,570.38 : x
2. Step 2: Convert to fraction form
   107,874/234,570.38 = 234,570.38/x
3. Step 3: Cross multiply
   107,874x = 234,570.38 × 234,570.38
4. Step 4: Simplify right side
   107,874x = 55,023,260,827.64
5. Step 5: Solve for x
   x = 55,023,260,827.64/107,874
6. Step 6: Final answer
   x = 510,069.72