Finding the Third Proportional to 191,664 and 278,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,664 : 278,575.50 = 278,575.50 : x
2. Step 2: Convert to fraction form
   191,664/278,575.50 = 278,575.50/x
3. Step 3: Cross multiply
   191,664x = 278,575.50 × 278,575.50
4. Step 4: Simplify right side
   191,664x = 77,604,309,200.25
5. Step 5: Solve for x
   x = 77,604,309,200.25/191,664
6. Step 6: Final answer
   x = 404,897.68