Finding the Third Proportional to 52,585 and 114,089

Step by Step Solution

1. Step 1: Write the proportion equation
   52,585 : 114,089 = 114,089 : x
2. Step 2: Convert to fraction form
   52,585/114,089 = 114,089/x
3. Step 3: Cross multiply
   52,585x = 114,089 × 114,089
4. Step 4: Simplify right side
   52,585x = 13,016,299,921
5. Step 5: Solve for x
   x = 13,016,299,921/52,585
6. Step 6: Final answer
   x = 247,528.76