Finding the Third Proportional to 69,382 and 150,429

Step by Step Solution

1. Step 1: Write the proportion equation
   69,382 : 150,429 = 150,429 : x
2. Step 2: Convert to fraction form
   69,382/150,429 = 150,429/x
3. Step 3: Cross multiply
   69,382x = 150,429 × 150,429
4. Step 4: Simplify right side
   69,382x = 22,628,884,041
5. Step 5: Solve for x
   x = 22,628,884,041/69,382
6. Step 6: Final answer
   x = 326,149.20