Finding the Third Proportional to 194,647.50 and 419,670

Step by Step Solution

1. Step 1: Write the proportion equation
   194,647.50 : 419,670 = 419,670 : x
2. Step 2: Convert to fraction form
   194,647.50/419,670 = 419,670/x
3. Step 3: Cross multiply
   194,647.50x = 419,670 × 419,670
4. Step 4: Simplify right side
   194,647.50x = 176,122,908,900
5. Step 5: Solve for x
   x = 176,122,908,900/194,647.50
6. Step 6: Final answer
   x = 904,830.06