Finding the Third Proportional to 196,897.50 and 431,919

Step by Step Solution

1. Step 1: Write the proportion equation
   196,897.50 : 431,919 = 431,919 : x
2. Step 2: Convert to fraction form
   196,897.50/431,919 = 431,919/x
3. Step 3: Cross multiply
   196,897.50x = 431,919 × 431,919
4. Step 4: Simplify right side
   196,897.50x = 186,554,022,561
5. Step 5: Solve for x
   x = 186,554,022,561/196,897.50
6. Step 6: Final answer
   x = 947,467.71