Finding the Third Proportional to 50,896 and 109,316

Step by Step Solution

1. Step 1: Write the proportion equation
   50,896 : 109,316 = 109,316 : x
2. Step 2: Convert to fraction form
   50,896/109,316 = 109,316/x
3. Step 3: Cross multiply
   50,896x = 109,316 × 109,316
4. Step 4: Simplify right side
   50,896x = 11,949,987,856
5. Step 5: Solve for x
   x = 11,949,987,856/50,896
6. Step 6: Final answer
   x = 234,792.28