Finding the Third Proportional to 69,384 and 161,892

Step by Step Solution

1. Step 1: Write the proportion equation
   69,384 : 161,892 = 161,892 : x
2. Step 2: Convert to fraction form
   69,384/161,892 = 161,892/x
3. Step 3: Cross multiply
   69,384x = 161,892 × 161,892
4. Step 4: Simplify right side
   69,384x = 26,209,019,664
5. Step 5: Solve for x
   x = 26,209,019,664/69,384
6. Step 6: Final answer
   x = 377,738.67