Finding the Third Proportional to 415,089 and 607,830

Step by Step Solution

1. Step 1: Write the proportion equation
   415,089 : 607,830 = 607,830 : x
2. Step 2: Convert to fraction form
   415,089/607,830 = 607,830/x
3. Step 3: Cross multiply
   415,089x = 607,830 × 607,830
4. Step 4: Simplify right side
   415,089x = 369,457,308,900
5. Step 5: Solve for x
   x = 369,457,308,900/415,089
6. Step 6: Final answer
   x = 890,067.69