Finding the Third Proportional to 117,714 and 177,675.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,714 : 177,675.75 = 177,675.75 : x
2. Step 2: Convert to fraction form
   117,714/177,675.75 = 177,675.75/x
3. Step 3: Cross multiply
   117,714x = 177,675.75 × 177,675.75
4. Step 4: Simplify right side
   117,714x = 31,568,672,138.06
5. Step 5: Solve for x
   x = 31,568,672,138.06/117,714
6. Step 6: Final answer
   x = 268,181.12