Finding the Third Proportional to 123,661 and 229,646

Step by Step Solution

1. Step 1: Write the proportion equation
   123,661 : 229,646 = 229,646 : x
2. Step 2: Convert to fraction form
   123,661/229,646 = 229,646/x
3. Step 3: Cross multiply
   123,661x = 229,646 × 229,646
4. Step 4: Simplify right side
   123,661x = 52,737,285,316
5. Step 5: Solve for x
   x = 52,737,285,316/123,661
6. Step 6: Final answer
   x = 426,466.59