Finding the Third Proportional to 117,846 and 254,366

Step by Step Solution

1. Step 1: Write the proportion equation
   117,846 : 254,366 = 254,366 : x
2. Step 2: Convert to fraction form
   117,846/254,366 = 254,366/x
3. Step 3: Cross multiply
   117,846x = 254,366 × 254,366
4. Step 4: Simplify right side
   117,846x = 64,702,061,956
5. Step 5: Solve for x
   x = 64,702,061,956/117,846
6. Step 6: Final answer
   x = 549,039.10