Finding the Third Proportional to 147,969 and 231,870

Step by Step Solution

1. Step 1: Write the proportion equation
   147,969 : 231,870 = 231,870 : x
2. Step 2: Convert to fraction form
   147,969/231,870 = 231,870/x
3. Step 3: Cross multiply
   147,969x = 231,870 × 231,870
4. Step 4: Simplify right side
   147,969x = 53,763,696,900
5. Step 5: Solve for x
   x = 53,763,696,900/147,969
6. Step 6: Final answer
   x = 363,344.33