Finding the Third Proportional to 194,555 and 419,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,555 : 419,129.50 = 419,129.50 : x
2. Step 2: Convert to fraction form
   194,555/419,129.50 = 419,129.50/x
3. Step 3: Cross multiply
   194,555x = 419,129.50 × 419,129.50
4. Step 4: Simplify right side
   194,555x = 175,669,537,770.25
5. Step 5: Solve for x
   x = 175,669,537,770.25/194,555
6. Step 6: Final answer
   x = 902,929.96