Finding the Third Proportional to 194,854.50 and 418,716.56

Step by Step Solution

1. Step 1: Write the proportion equation
   194,854.50 : 418,716.56 = 418,716.56 : x
2. Step 2: Convert to fraction form
   194,854.50/418,716.56 = 418,716.56/x
3. Step 3: Cross multiply
   194,854.50x = 418,716.56 × 418,716.56
4. Step 4: Simplify right side
   194,854.50x = 175,323,559,711.82
5. Step 5: Solve for x
   x = 175,323,559,711.82/194,854.50
6. Step 6: Final answer
   x = 899,766.54