Finding the Third Proportional to 117,760 and 254,300

Step by Step Solution

1. Step 1: Write the proportion equation
   117,760 : 254,300 = 254,300 : x
2. Step 2: Convert to fraction form
   117,760/254,300 = 254,300/x
3. Step 3: Cross multiply
   117,760x = 254,300 × 254,300
4. Step 4: Simplify right side
   117,760x = 64,668,490,000
5. Step 5: Solve for x
   x = 64,668,490,000/117,760
6. Step 6: Final answer
   x = 549,154.98