Finding the Third Proportional to 409,678.50 and 852,057

Step by Step Solution

1. Step 1: Write the proportion equation
   409,678.50 : 852,057 = 852,057 : x
2. Step 2: Convert to fraction form
   409,678.50/852,057 = 852,057/x
3. Step 3: Cross multiply
   409,678.50x = 852,057 × 852,057
4. Step 4: Simplify right side
   409,678.50x = 726,001,131,249
5. Step 5: Solve for x
   x = 726,001,131,249/409,678.50
6. Step 6: Final answer
   x = 1,772,124.07