Finding the Third Proportional to 195,754.50 and 419,931

Step by Step Solution

1. Step 1: Write the proportion equation
   195,754.50 : 419,931 = 419,931 : x
2. Step 2: Convert to fraction form
   195,754.50/419,931 = 419,931/x
3. Step 3: Cross multiply
   195,754.50x = 419,931 × 419,931
4. Step 4: Simplify right side
   195,754.50x = 176,342,044,761
5. Step 5: Solve for x
   x = 176,342,044,761/195,754.50
6. Step 6: Final answer
   x = 900,832.65