Finding the Third Proportional to 147,970 and 231,876

Step by Step Solution

1. Step 1: Write the proportion equation
   147,970 : 231,876 = 231,876 : x
2. Step 2: Convert to fraction form
   147,970/231,876 = 231,876/x
3. Step 3: Cross multiply
   147,970x = 231,876 × 231,876
4. Step 4: Simplify right side
   147,970x = 53,766,479,376
5. Step 5: Solve for x
   x = 53,766,479,376/147,970
6. Step 6: Final answer
   x = 363,360.68