Finding the Third Proportional to 117,870 and 254,565

Step by Step Solution

1. Step 1: Write the proportion equation
   117,870 : 254,565 = 254,565 : x
2. Step 2: Convert to fraction form
   117,870/254,565 = 254,565/x
3. Step 3: Cross multiply
   117,870x = 254,565 × 254,565
4. Step 4: Simplify right side
   117,870x = 64,803,339,225
5. Step 5: Solve for x
   x = 64,803,339,225/117,870
6. Step 6: Final answer
   x = 549,786.54