Finding the Third Proportional to 201,178.69 and 278,900.72

Step by Step Solution

1. Step 1: Write the proportion equation
   201,178.69 : 278,900.72 = 278,900.72 : x
2. Step 2: Convert to fraction form
   201,178.69/278,900.72 = 278,900.72/x
3. Step 3: Cross multiply
   201,178.69x = 278,900.72 × 278,900.72
4. Step 4: Simplify right side
   201,178.69x = 77,785,610,919.27
5. Step 5: Solve for x
   x = 77,785,610,919.27/201,178.69
6. Step 6: Final answer
   x = 386,649.36