Finding the Third Proportional to 108,470 and 233,609

Step by Step Solution

1. Step 1: Write the proportion equation
   108,470 : 233,609 = 233,609 : x
2. Step 2: Convert to fraction form
   108,470/233,609 = 233,609/x
3. Step 3: Cross multiply
   108,470x = 233,609 × 233,609
4. Step 4: Simplify right side
   108,470x = 54,573,164,881
5. Step 5: Solve for x
   x = 54,573,164,881/108,470
6. Step 6: Final answer
   x = 503,117.59