Finding the Third Proportional to 69,629 and 142,945

Step by Step Solution

1. Step 1: Write the proportion equation
   69,629 : 142,945 = 142,945 : x
2. Step 2: Convert to fraction form
   69,629/142,945 = 142,945/x
3. Step 3: Cross multiply
   69,629x = 142,945 × 142,945
4. Step 4: Simplify right side
   69,629x = 20,433,273,025
5. Step 5: Solve for x
   x = 20,433,273,025/69,629
6. Step 6: Final answer
   x = 293,459.23