Finding the Third Proportional to 146,147.50 and 219,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,147.50 : 219,241.50 = 219,241.50 : x
2. Step 2: Convert to fraction form
   146,147.50/219,241.50 = 219,241.50/x
3. Step 3: Cross multiply
   146,147.50x = 219,241.50 × 219,241.50
4. Step 4: Simplify right side
   146,147.50x = 48,066,835,322.25
5. Step 5: Solve for x
   x = 48,066,835,322.25/146,147.50
6. Step 6: Final answer
   x = 328,892.63