Finding the Third Proportional to 262,564.50 and 289,632

Step by Step Solution

1. Step 1: Write the proportion equation
   262,564.50 : 289,632 = 289,632 : x
2. Step 2: Convert to fraction form
   262,564.50/289,632 = 289,632/x
3. Step 3: Cross multiply
   262,564.50x = 289,632 × 289,632
4. Step 4: Simplify right side
   262,564.50x = 83,886,695,424
5. Step 5: Solve for x
   x = 83,886,695,424/262,564.50
6. Step 6: Final answer
   x = 319,489.86