Finding the Third Proportional to 69,071 and 152,662

Step by Step Solution

1. Step 1: Write the proportion equation
   69,071 : 152,662 = 152,662 : x
2. Step 2: Convert to fraction form
   69,071/152,662 = 152,662/x
3. Step 3: Cross multiply
   69,071x = 152,662 × 152,662
4. Step 4: Simplify right side
   69,071x = 23,305,686,244
5. Step 5: Solve for x
   x = 23,305,686,244/69,071
6. Step 6: Final answer
   x = 337,416.37