Finding the Third Proportional to 542,778 and 1,157,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   542,778 : 1,157,695.50 = 1,157,695.50 : x
2. Step 2: Convert to fraction form
   542,778/1,157,695.50 = 1,157,695.50/x
3. Step 3: Cross multiply
   542,778x = 1,157,695.50 × 1,157,695.50
4. Step 4: Simplify right side
   542,778x = 1,340,258,870,720.25
5. Step 5: Solve for x
   x = 1,340,258,870,720.25/542,778
6. Step 6: Final answer
   x = 2,469,257.91