Finding the Third Proportional to 188,446.50 and 414,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,446.50 : 414,031.50 = 414,031.50 : x
2. Step 2: Convert to fraction form
   188,446.50/414,031.50 = 414,031.50/x
3. Step 3: Cross multiply
   188,446.50x = 414,031.50 × 414,031.50
4. Step 4: Simplify right side
   188,446.50x = 171,422,082,992.25
5. Step 5: Solve for x
   x = 171,422,082,992.25/188,446.50
6. Step 6: Final answer
   x = 909,659.15