Finding the Third Proportional to 188,766 and 289,710

Step by Step Solution

1. Step 1: Write the proportion equation
   188,766 : 289,710 = 289,710 : x
2. Step 2: Convert to fraction form
   188,766/289,710 = 289,710/x
3. Step 3: Cross multiply
   188,766x = 289,710 × 289,710
4. Step 4: Simplify right side
   188,766x = 83,931,884,100
5. Step 5: Solve for x
   x = 83,931,884,100/188,766
6. Step 6: Final answer
   x = 444,634.54