Finding the Third Proportional to 435,144 and 633,780

Step by Step Solution

1. Step 1: Write the proportion equation
   435,144 : 633,780 = 633,780 : x
2. Step 2: Convert to fraction form
   435,144/633,780 = 633,780/x
3. Step 3: Cross multiply
   435,144x = 633,780 × 633,780
4. Step 4: Simplify right side
   435,144x = 401,677,088,400
5. Step 5: Solve for x
   x = 401,677,088,400/435,144
6. Step 6: Final answer
   x = 923,090.03