Finding the Third Proportional to 72,619 and 158,380

Step by Step Solution

1. Step 1: Write the proportion equation
   72,619 : 158,380 = 158,380 : x
2. Step 2: Convert to fraction form
   72,619/158,380 = 158,380/x
3. Step 3: Cross multiply
   72,619x = 158,380 × 158,380
4. Step 4: Simplify right side
   72,619x = 25,084,224,400
5. Step 5: Solve for x
   x = 25,084,224,400/72,619
6. Step 6: Final answer
   x = 345,422.33