Finding the Third Proportional to 193,031 and 278,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,031 : 278,470.50 = 278,470.50 : x
2. Step 2: Convert to fraction form
   193,031/278,470.50 = 278,470.50/x
3. Step 3: Cross multiply
   193,031x = 278,470.50 × 278,470.50
4. Step 4: Simplify right side
   193,031x = 77,545,819,370.25
5. Step 5: Solve for x
   x = 77,545,819,370.25/193,031
6. Step 6: Final answer
   x = 401,727.28