Finding the Third Proportional to 146,088 and 311,004

Step by Step Solution

1. Step 1: Write the proportion equation
   146,088 : 311,004 = 311,004 : x
2. Step 2: Convert to fraction form
   146,088/311,004 = 311,004/x
3. Step 3: Cross multiply
   146,088x = 311,004 × 311,004
4. Step 4: Simplify right side
   146,088x = 96,723,488,016
5. Step 5: Solve for x
   x = 96,723,488,016/146,088
6. Step 6: Final answer
   x = 662,090.58