Finding the Third Proportional to 173,840 and 269,030

Step by Step Solution

1. Step 1: Write the proportion equation
   173,840 : 269,030 = 269,030 : x
2. Step 2: Convert to fraction form
   173,840/269,030 = 269,030/x
3. Step 3: Cross multiply
   173,840x = 269,030 × 269,030
4. Step 4: Simplify right side
   173,840x = 72,377,140,900
5. Step 5: Solve for x
   x = 72,377,140,900/173,840
6. Step 6: Final answer
   x = 416,343.42