Finding the Third Proportional to 200,144 and 304,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,144 : 304,340.50 = 304,340.50 : x
2. Step 2: Convert to fraction form
   200,144/304,340.50 = 304,340.50/x
3. Step 3: Cross multiply
   200,144x = 304,340.50 × 304,340.50
4. Step 4: Simplify right side
   200,144x = 92,623,139,940.25
5. Step 5: Solve for x
   x = 92,623,139,940.25/200,144
6. Step 6: Final answer
   x = 462,782.50