Finding the Third Proportional to 144,829 and 302,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,829 : 302,898.50 = 302,898.50 : x
2. Step 2: Convert to fraction form
   144,829/302,898.50 = 302,898.50/x
3. Step 3: Cross multiply
   144,829x = 302,898.50 × 302,898.50
4. Step 4: Simplify right side
   144,829x = 91,747,501,302.25
5. Step 5: Solve for x
   x = 91,747,501,302.25/144,829
6. Step 6: Final answer
   x = 633,488.47