Finding the Third Proportional to 509,058 and 1,150,117

Step by Step Solution

1. Step 1: Write the proportion equation
   509,058 : 1,150,117 = 1,150,117 : x
2. Step 2: Convert to fraction form
   509,058/1,150,117 = 1,150,117/x
3. Step 3: Cross multiply
   509,058x = 1,150,117 × 1,150,117
4. Step 4: Simplify right side
   509,058x = 1,322,769,113,689
5. Step 5: Solve for x
   x = 1,322,769,113,689/509,058
6. Step 6: Final answer
   x = 2,598,464.45