Finding the Third Proportional to 403,470 and 565,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   403,470 : 565,453.50 = 565,453.50 : x
2. Step 2: Convert to fraction form
   403,470/565,453.50 = 565,453.50/x
3. Step 3: Cross multiply
   403,470x = 565,453.50 × 565,453.50
4. Step 4: Simplify right side
   403,470x = 319,737,660,662.25
5. Step 5: Solve for x
   x = 319,737,660,662.25/403,470
6. Step 6: Final answer
   x = 792,469.48