Finding the Third Proportional to 56,096 and 123,316

Step by Step Solution

1. Step 1: Write the proportion equation
   56,096 : 123,316 = 123,316 : x
2. Step 2: Convert to fraction form
   56,096/123,316 = 123,316/x
3. Step 3: Cross multiply
   56,096x = 123,316 × 123,316
4. Step 4: Simplify right side
   56,096x = 15,206,835,856
5. Step 5: Solve for x
   x = 15,206,835,856/56,096
6. Step 6: Final answer
   x = 271,085.92