Finding the Third Proportional to 69,877 and 150,820

Step by Step Solution

1. Step 1: Write the proportion equation
   69,877 : 150,820 = 150,820 : x
2. Step 2: Convert to fraction form
   69,877/150,820 = 150,820/x
3. Step 3: Cross multiply
   69,877x = 150,820 × 150,820
4. Step 4: Simplify right side
   69,877x = 22,746,672,400
5. Step 5: Solve for x
   x = 22,746,672,400/69,877
6. Step 6: Final answer
   x = 325,524.46