Finding the Third Proportional to 291,792 and 428,208

Step by Step Solution

1. Step 1: Write the proportion equation
   291,792 : 428,208 = 428,208 : x
2. Step 2: Convert to fraction form
   291,792/428,208 = 428,208/x
3. Step 3: Cross multiply
   291,792x = 428,208 × 428,208
4. Step 4: Simplify right side
   291,792x = 183,362,091,264
5. Step 5: Solve for x
   x = 183,362,091,264/291,792
6. Step 6: Final answer
   x = 628,399.99