Finding the Third Proportional to 234,001 and 334,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,001 : 334,393.50 = 334,393.50 : x
2. Step 2: Convert to fraction form
   234,001/334,393.50 = 334,393.50/x
3. Step 3: Cross multiply
   234,001x = 334,393.50 × 334,393.50
4. Step 4: Simplify right side
   234,001x = 111,819,012,842.25
5. Step 5: Solve for x
   x = 111,819,012,842.25/234,001
6. Step 6: Final answer
   x = 477,856.99