Finding the Third Proportional to 116,280 and 251,154

Step by Step Solution

1. Step 1: Write the proportion equation
   116,280 : 251,154 = 251,154 : x
2. Step 2: Convert to fraction form
   116,280/251,154 = 251,154/x
3. Step 3: Cross multiply
   116,280x = 251,154 × 251,154
4. Step 4: Simplify right side
   116,280x = 63,078,331,716
5. Step 5: Solve for x
   x = 63,078,331,716/116,280
6. Step 6: Final answer
   x = 542,469.31