Finding the Third Proportional to 71,727 and 151,659

Step by Step Solution

1. Step 1: Write the proportion equation
   71,727 : 151,659 = 151,659 : x
2. Step 2: Convert to fraction form
   71,727/151,659 = 151,659/x
3. Step 3: Cross multiply
   71,727x = 151,659 × 151,659
4. Step 4: Simplify right side
   71,727x = 23,000,452,281
5. Step 5: Solve for x
   x = 23,000,452,281/71,727
6. Step 6: Final answer
   x = 320,666.59