Finding the Third Proportional to 69,584 and 152,164

Step by Step Solution

1. Step 1: Write the proportion equation
   69,584 : 152,164 = 152,164 : x
2. Step 2: Convert to fraction form
   69,584/152,164 = 152,164/x
3. Step 3: Cross multiply
   69,584x = 152,164 × 152,164
4. Step 4: Simplify right side
   69,584x = 23,153,882,896
5. Step 5: Solve for x
   x = 23,153,882,896/69,584
6. Step 6: Final answer
   x = 332,747.22