Finding the Third Proportional to 139,952 and 298,592

Step by Step Solution

1. Step 1: Write the proportion equation
   139,952 : 298,592 = 298,592 : x
2. Step 2: Convert to fraction form
   139,952/298,592 = 298,592/x
3. Step 3: Cross multiply
   139,952x = 298,592 × 298,592
4. Step 4: Simplify right side
   139,952x = 89,157,182,464
5. Step 5: Solve for x
   x = 89,157,182,464/139,952
6. Step 6: Final answer
   x = 637,055.44