Finding the Third Proportional to 498,160 and 685,032

Step by Step Solution

1. Step 1: Write the proportion equation
   498,160 : 685,032 = 685,032 : x
2. Step 2: Convert to fraction form
   498,160/685,032 = 685,032/x
3. Step 3: Cross multiply
   498,160x = 685,032 × 685,032
4. Step 4: Simplify right side
   498,160x = 469,268,841,024
5. Step 5: Solve for x
   x = 469,268,841,024/498,160
6. Step 6: Final answer
   x = 942,004.26