Finding the Third Proportional to 108,465 and 233,580

Step by Step Solution

1. Step 1: Write the proportion equation
   108,465 : 233,580 = 233,580 : x
2. Step 2: Convert to fraction form
   108,465/233,580 = 233,580/x
3. Step 3: Cross multiply
   108,465x = 233,580 × 233,580
4. Step 4: Simplify right side
   108,465x = 54,559,616,400
5. Step 5: Solve for x
   x = 54,559,616,400/108,465
6. Step 6: Final answer
   x = 503,015.87