Finding the Third Proportional to 177,815 and 272,661.75

Step by Step Solution

1. Step 1: Write the proportion equation
   177,815 : 272,661.75 = 272,661.75 : x
2. Step 2: Convert to fraction form
   177,815/272,661.75 = 272,661.75/x
3. Step 3: Cross multiply
   177,815x = 272,661.75 × 272,661.75
4. Step 4: Simplify right side
   177,815x = 74,344,429,913.06
5. Step 5: Solve for x
   x = 74,344,429,913.06/177,815
6. Step 6: Final answer
   x = 418,099.88