Finding the Third Proportional to 123,030 and 269,034

Step by Step Solution

1. Step 1: Write the proportion equation
   123,030 : 269,034 = 269,034 : x
2. Step 2: Convert to fraction form
   123,030/269,034 = 269,034/x
3. Step 3: Cross multiply
   123,030x = 269,034 × 269,034
4. Step 4: Simplify right side
   123,030x = 72,379,293,156
5. Step 5: Solve for x
   x = 72,379,293,156/123,030
6. Step 6: Final answer
   x = 588,306.05