Finding the Third Proportional to 188,952 and 414,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,952 : 414,763.50 = 414,763.50 : x
2. Step 2: Convert to fraction form
   188,952/414,763.50 = 414,763.50/x
3. Step 3: Cross multiply
   188,952x = 414,763.50 × 414,763.50
4. Step 4: Simplify right side
   188,952x = 172,028,760,932.25
5. Step 5: Solve for x
   x = 172,028,760,932.25/188,952
6. Step 6: Final answer
   x = 910,436.31