Finding the Third Proportional to 194,805 and 419,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,805 : 419,701.50 = 419,701.50 : x
2. Step 2: Convert to fraction form
   194,805/419,701.50 = 419,701.50/x
3. Step 3: Cross multiply
   194,805x = 419,701.50 × 419,701.50
4. Step 4: Simplify right side
   194,805x = 176,149,349,102.25
5. Step 5: Solve for x
   x = 176,149,349,102.25/194,805
6. Step 6: Final answer
   x = 904,234.23