Finding the Third Proportional to 171,146 and 266,388

Step by Step Solution

1. Step 1: Write the proportion equation
   171,146 : 266,388 = 266,388 : x
2. Step 2: Convert to fraction form
   171,146/266,388 = 266,388/x
3. Step 3: Cross multiply
   171,146x = 266,388 × 266,388
4. Step 4: Simplify right side
   171,146x = 70,962,566,544
5. Step 5: Solve for x
   x = 70,962,566,544/171,146
6. Step 6: Final answer
   x = 414,631.76