Finding the Third Proportional to 72,784 and 158,382

Step by Step Solution

1. Step 1: Write the proportion equation
   72,784 : 158,382 = 158,382 : x
2. Step 2: Convert to fraction form
   72,784/158,382 = 158,382/x
3. Step 3: Cross multiply
   72,784x = 158,382 × 158,382
4. Step 4: Simplify right side
   72,784x = 25,084,857,924
5. Step 5: Solve for x
   x = 25,084,857,924/72,784
6. Step 6: Final answer
   x = 344,647.97