Finding the Third Proportional to 194,833.50 and 419,259

Step by Step Solution

1. Step 1: Write the proportion equation
   194,833.50 : 419,259 = 419,259 : x
2. Step 2: Convert to fraction form
   194,833.50/419,259 = 419,259/x
3. Step 3: Cross multiply
   194,833.50x = 419,259 × 419,259
4. Step 4: Simplify right side
   194,833.50x = 175,778,109,081
5. Step 5: Solve for x
   x = 175,778,109,081/194,833.50
6. Step 6: Final answer
   x = 902,196.54