Finding the Third Proportional to 289,470 and 413,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   289,470 : 413,564.50 = 413,564.50 : x
2. Step 2: Convert to fraction form
   289,470/413,564.50 = 413,564.50/x
3. Step 3: Cross multiply
   289,470x = 413,564.50 × 413,564.50
4. Step 4: Simplify right side
   289,470x = 171,035,595,660.25
5. Step 5: Solve for x
   x = 171,035,595,660.25/289,470
6. Step 6: Final answer
   x = 590,857.76