Finding the Third Proportional to 147,401 and 222,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,401 : 222,319.50 = 222,319.50 : x
2. Step 2: Convert to fraction form
   147,401/222,319.50 = 222,319.50/x
3. Step 3: Cross multiply
   147,401x = 222,319.50 × 222,319.50
4. Step 4: Simplify right side
   147,401x = 49,425,960,080.25
5. Step 5: Solve for x
   x = 49,425,960,080.25/147,401
6. Step 6: Final answer
   x = 335,316.31