Finding the Third Proportional to 123,200 and 266,096

Step by Step Solution

1. Step 1: Write the proportion equation
   123,200 : 266,096 = 266,096 : x
2. Step 2: Convert to fraction form
   123,200/266,096 = 266,096/x
3. Step 3: Cross multiply
   123,200x = 266,096 × 266,096
4. Step 4: Simplify right side
   123,200x = 70,807,081,216
5. Step 5: Solve for x
   x = 70,807,081,216/123,200
6. Step 6: Final answer
   x = 574,732.80