Finding the Third Proportional to 54,242 and 114,316

Step by Step Solution

1. Step 1: Write the proportion equation
   54,242 : 114,316 = 114,316 : x
2. Step 2: Convert to fraction form
   54,242/114,316 = 114,316/x
3. Step 3: Cross multiply
   54,242x = 114,316 × 114,316
4. Step 4: Simplify right side
   54,242x = 13,068,147,856
5. Step 5: Solve for x
   x = 13,068,147,856/54,242
6. Step 6: Final answer
   x = 240,923.05