Finding the Third Proportional to 147,378.50 and 222,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,378.50 : 222,468.50 = 222,468.50 : x
2. Step 2: Convert to fraction form
   147,378.50/222,468.50 = 222,468.50/x
3. Step 3: Cross multiply
   147,378.50x = 222,468.50 × 222,468.50
4. Step 4: Simplify right side
   147,378.50x = 49,492,233,492.25
5. Step 5: Solve for x
   x = 49,492,233,492.25/147,378.50
6. Step 6: Final answer
   x = 335,817.19