Finding the Third Proportional to 76,437 and 158,274

Step by Step Solution

1. Step 1: Write the proportion equation
   76,437 : 158,274 = 158,274 : x
2. Step 2: Convert to fraction form
   76,437/158,274 = 158,274/x
3. Step 3: Cross multiply
   76,437x = 158,274 × 158,274
4. Step 4: Simplify right side
   76,437x = 25,050,659,076
5. Step 5: Solve for x
   x = 25,050,659,076/76,437
6. Step 6: Final answer
   x = 327,729.49