Finding the Third Proportional to 146,097 and 311,022

Step by Step Solution

1. Step 1: Write the proportion equation
   146,097 : 311,022 = 311,022 : x
2. Step 2: Convert to fraction form
   146,097/311,022 = 311,022/x
3. Step 3: Cross multiply
   146,097x = 311,022 × 311,022
4. Step 4: Simplify right side
   146,097x = 96,734,684,484
5. Step 5: Solve for x
   x = 96,734,684,484/146,097
6. Step 6: Final answer
   x = 662,126.43