Finding the Third Proportional to 227,646 and 334,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,646 : 334,087.50 = 334,087.50 : x
2. Step 2: Convert to fraction form
   227,646/334,087.50 = 334,087.50/x
3. Step 3: Cross multiply
   227,646x = 334,087.50 × 334,087.50
4. Step 4: Simplify right side
   227,646x = 111,614,457,656.25
5. Step 5: Solve for x
   x = 111,614,457,656.25/227,646
6. Step 6: Final answer
   x = 490,298.35