Finding the Third Proportional to 76,436 and 158,272

Step by Step Solution

1. Step 1: Write the proportion equation
   76,436 : 158,272 = 158,272 : x
2. Step 2: Convert to fraction form
   76,436/158,272 = 158,272/x
3. Step 3: Cross multiply
   76,436x = 158,272 × 158,272
4. Step 4: Simplify right side
   76,436x = 25,050,025,984
5. Step 5: Solve for x
   x = 25,050,025,984/76,436
6. Step 6: Final answer
   x = 327,725.50