Finding the Third Proportional to 144,666 and 223,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,666 : 223,978.50 = 223,978.50 : x
2. Step 2: Convert to fraction form
   144,666/223,978.50 = 223,978.50/x
3. Step 3: Cross multiply
   144,666x = 223,978.50 × 223,978.50
4. Step 4: Simplify right side
   144,666x = 50,166,368,462.25
5. Step 5: Solve for x
   x = 50,166,368,462.25/144,666
6. Step 6: Final answer
   x = 346,773.73