Finding the Third Proportional to 152,077 and 226,870

Step by Step Solution

1. Step 1: Write the proportion equation
   152,077 : 226,870 = 226,870 : x
2. Step 2: Convert to fraction form
   152,077/226,870 = 226,870/x
3. Step 3: Cross multiply
   152,077x = 226,870 × 226,870
4. Step 4: Simplify right side
   152,077x = 51,469,996,900
5. Step 5: Solve for x
   x = 51,469,996,900/152,077
6. Step 6: Final answer
   x = 338,446.95