Finding the Third Proportional to 108,020 and 158,382

Step by Step Solution

1. Step 1: Write the proportion equation
   108,020 : 158,382 = 158,382 : x
2. Step 2: Convert to fraction form
   108,020/158,382 = 158,382/x
3. Step 3: Cross multiply
   108,020x = 158,382 × 158,382
4. Step 4: Simplify right side
   108,020x = 25,084,857,924
5. Step 5: Solve for x
   x = 25,084,857,924/108,020
6. Step 6: Final answer
   x = 232,224.20