Finding the Third Proportional to 72,196 and 158,341

Step by Step Solution

1. Step 1: Write the proportion equation
   72,196 : 158,341 = 158,341 : x
2. Step 2: Convert to fraction form
   72,196/158,341 = 158,341/x
3. Step 3: Cross multiply
   72,196x = 158,341 × 158,341
4. Step 4: Simplify right side
   72,196x = 25,071,872,281
5. Step 5: Solve for x
   x = 25,071,872,281/72,196
6. Step 6: Final answer
   x = 347,275.09