Finding the Third Proportional to 194,953.50 and 414,504

Step by Step Solution

1. Step 1: Write the proportion equation
   194,953.50 : 414,504 = 414,504 : x
2. Step 2: Convert to fraction form
   194,953.50/414,504 = 414,504/x
3. Step 3: Cross multiply
   194,953.50x = 414,504 × 414,504
4. Step 4: Simplify right side
   194,953.50x = 171,813,566,016
5. Step 5: Solve for x
   x = 171,813,566,016/194,953.50
6. Step 6: Final answer
   x = 881,305.37