Finding the Third Proportional to 116,282 and 258,862

Step by Step Solution

1. Step 1: Write the proportion equation
   116,282 : 258,862 = 258,862 : x
2. Step 2: Convert to fraction form
   116,282/258,862 = 258,862/x
3. Step 3: Cross multiply
   116,282x = 258,862 × 258,862
4. Step 4: Simplify right side
   116,282x = 67,009,535,044
5. Step 5: Solve for x
   x = 67,009,535,044/116,282
6. Step 6: Final answer
   x = 576,267.48