Finding the Third Proportional to 117,601 and 254,065

Step by Step Solution

1. Step 1: Write the proportion equation
   117,601 : 254,065 = 254,065 : x
2. Step 2: Convert to fraction form
   117,601/254,065 = 254,065/x
3. Step 3: Cross multiply
   117,601x = 254,065 × 254,065
4. Step 4: Simplify right side
   117,601x = 64,549,024,225
5. Step 5: Solve for x
   x = 64,549,024,225/117,601
6. Step 6: Final answer
   x = 548,881.59