Finding the Third Proportional to 104,535 and 229,086

Step by Step Solution

1. Step 1: Write the proportion equation
   104,535 : 229,086 = 229,086 : x
2. Step 2: Convert to fraction form
   104,535/229,086 = 229,086/x
3. Step 3: Cross multiply
   104,535x = 229,086 × 229,086
4. Step 4: Simplify right side
   104,535x = 52,480,395,396
5. Step 5: Solve for x
   x = 52,480,395,396/104,535
6. Step 6: Final answer
   x = 502,036.59