Finding the Third Proportional to 477,003 and 645,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   477,003 : 645,520.50 = 645,520.50 : x
2. Step 2: Convert to fraction form
   477,003/645,520.50 = 645,520.50/x
3. Step 3: Cross multiply
   477,003x = 645,520.50 × 645,520.50
4. Step 4: Simplify right side
   477,003x = 416,696,715,920.25
5. Step 5: Solve for x
   x = 416,696,715,920.25/477,003
6. Step 6: Final answer
   x = 873,572.53