Finding the Third Proportional to 68,024 and 146,978

Step by Step Solution

1. Step 1: Write the proportion equation
   68,024 : 146,978 = 146,978 : x
2. Step 2: Convert to fraction form
   68,024/146,978 = 146,978/x
3. Step 3: Cross multiply
   68,024x = 146,978 × 146,978
4. Step 4: Simplify right side
   68,024x = 21,602,532,484
5. Step 5: Solve for x
   x = 21,602,532,484/68,024
6. Step 6: Final answer
   x = 317,572.22