Finding the Third Proportional to 188,962 and 414,784

Step by Step Solution

1. Step 1: Write the proportion equation
   188,962 : 414,784 = 414,784 : x
2. Step 2: Convert to fraction form
   188,962/414,784 = 414,784/x
3. Step 3: Cross multiply
   188,962x = 414,784 × 414,784
4. Step 4: Simplify right side
   188,962x = 172,045,766,656
5. Step 5: Solve for x
   x = 172,045,766,656/188,962
6. Step 6: Final answer
   x = 910,478.12