Finding the Third Proportional to 369,745 and 584,969

Step by Step Solution

1. Step 1: Write the proportion equation
   369,745 : 584,969 = 584,969 : x
2. Step 2: Convert to fraction form
   369,745/584,969 = 584,969/x
3. Step 3: Cross multiply
   369,745x = 584,969 × 584,969
4. Step 4: Simplify right side
   369,745x = 342,188,730,961
5. Step 5: Solve for x
   x = 342,188,730,961/369,745
6. Step 6: Final answer
   x = 925,472.23