Finding the Third Proportional to 233,502 and 341,924

Step by Step Solution

1. Step 1: Write the proportion equation
   233,502 : 341,924 = 341,924 : x
2. Step 2: Convert to fraction form
   233,502/341,924 = 341,924/x
3. Step 3: Cross multiply
   233,502x = 341,924 × 341,924
4. Step 4: Simplify right side
   233,502x = 116,912,021,776
5. Step 5: Solve for x
   x = 116,912,021,776/233,502
6. Step 6: Final answer
   x = 500,689.59