Finding the Third Proportional to 52,409 and 116,428

Step by Step Solution

1. Step 1: Write the proportion equation
   52,409 : 116,428 = 116,428 : x
2. Step 2: Convert to fraction form
   52,409/116,428 = 116,428/x
3. Step 3: Cross multiply
   52,409x = 116,428 × 116,428
4. Step 4: Simplify right side
   52,409x = 13,555,479,184
5. Step 5: Solve for x
   x = 13,555,479,184/52,409
6. Step 6: Final answer
   x = 258,647.93