Finding the Third Proportional to 264,765 and 404,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,765 : 404,071.50 = 404,071.50 : x
2. Step 2: Convert to fraction form
   264,765/404,071.50 = 404,071.50/x
3. Step 3: Cross multiply
   264,765x = 404,071.50 × 404,071.50
4. Step 4: Simplify right side
   264,765x = 163,273,777,112.25
5. Step 5: Solve for x
   x = 163,273,777,112.25/264,765
6. Step 6: Final answer
   x = 616,674.32