Finding the Third Proportional to 177,196.50 and 272,357.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,196.50 : 272,357.25 = 272,357.25 : x
2. Step 2: Convert to fraction form
   177,196.50/272,357.25 = 272,357.25/x
3. Step 3: Cross multiply
   177,196.50x = 272,357.25 × 272,357.25
4. Step 4: Simplify right side
   177,196.50x = 74,178,471,627.56
5. Step 5: Solve for x
   x = 74,178,471,627.56/177,196.50
6. Step 6: Final answer
   x = 418,622.67