Finding the Third Proportional to 139,536 and 296,496

Step by Step Solution

1. Step 1: Write the proportion equation
   139,536 : 296,496 = 296,496 : x
2. Step 2: Convert to fraction form
   139,536/296,496 = 296,496/x
3. Step 3: Cross multiply
   139,536x = 296,496 × 296,496
4. Step 4: Simplify right side
   139,536x = 87,909,878,016
5. Step 5: Solve for x
   x = 87,909,878,016/139,536
6. Step 6: Final answer
   x = 630,015.75