Finding the Third Proportional to 233,496 and 369,792

Step by Step Solution

1. Step 1: Write the proportion equation
   233,496 : 369,792 = 369,792 : x
2. Step 2: Convert to fraction form
   233,496/369,792 = 369,792/x
3. Step 3: Cross multiply
   233,496x = 369,792 × 369,792
4. Step 4: Simplify right side
   233,496x = 136,746,123,264
5. Step 5: Solve for x
   x = 136,746,123,264/233,496
6. Step 6: Final answer
   x = 585,646.53