Finding the Third Proportional to 401,764 and 607,830

Step by Step Solution

1. Step 1: Write the proportion equation
   401,764 : 607,830 = 607,830 : x
2. Step 2: Convert to fraction form
   401,764/607,830 = 607,830/x
3. Step 3: Cross multiply
   401,764x = 607,830 × 607,830
4. Step 4: Simplify right side
   401,764x = 369,457,308,900
5. Step 5: Solve for x
   x = 369,457,308,900/401,764
6. Step 6: Final answer
   x = 919,587.89