Finding the Third Proportional to 219,429 and 294,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,429 : 294,151.50 = 294,151.50 : x
2. Step 2: Convert to fraction form
   219,429/294,151.50 = 294,151.50/x
3. Step 3: Cross multiply
   219,429x = 294,151.50 × 294,151.50
4. Step 4: Simplify right side
   219,429x = 86,525,104,952.25
5. Step 5: Solve for x
   x = 86,525,104,952.25/219,429
6. Step 6: Final answer
   x = 394,319.37