Finding the Third Proportional to 116,082 and 251,820

Step by Step Solution

1. Step 1: Write the proportion equation
   116,082 : 251,820 = 251,820 : x
2. Step 2: Convert to fraction form
   116,082/251,820 = 251,820/x
3. Step 3: Cross multiply
   116,082x = 251,820 × 251,820
4. Step 4: Simplify right side
   116,082x = 63,413,312,400
5. Step 5: Solve for x
   x = 63,413,312,400/116,082
6. Step 6: Final answer
   x = 546,280.32