Finding the Third Proportional to 123,216 and 266,112

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 266,112 = 266,112 : x
2. Step 2: Convert to fraction form
   123,216/266,112 = 266,112/x
3. Step 3: Cross multiply
   123,216x = 266,112 × 266,112
4. Step 4: Simplify right side
   123,216x = 70,815,596,544
5. Step 5: Solve for x
   x = 70,815,596,544/123,216
6. Step 6: Final answer
   x = 574,727.28