Finding the Third Proportional to 116,727 and 178,479

Step by Step Solution

1. Step 1: Write the proportion equation
   116,727 : 178,479 = 178,479 : x
2. Step 2: Convert to fraction form
   116,727/178,479 = 178,479/x
3. Step 3: Cross multiply
   116,727x = 178,479 × 178,479
4. Step 4: Simplify right side
   116,727x = 31,854,753,441
5. Step 5: Solve for x
   x = 31,854,753,441/116,727
6. Step 6: Final answer
   x = 272,899.62