Finding the Third Proportional to 117,918 and 254,510

Step by Step Solution

1. Step 1: Write the proportion equation
   117,918 : 254,510 = 254,510 : x
2. Step 2: Convert to fraction form
   117,918/254,510 = 254,510/x
3. Step 3: Cross multiply
   117,918x = 254,510 × 254,510
4. Step 4: Simplify right side
   117,918x = 64,775,340,100
5. Step 5: Solve for x
   x = 64,775,340,100/117,918
6. Step 6: Final answer
   x = 549,325.29