Finding the Third Proportional to 138,240 and 296,064

Step by Step Solution

1. Step 1: Write the proportion equation
   138,240 : 296,064 = 296,064 : x
2. Step 2: Convert to fraction form
   138,240/296,064 = 296,064/x
3. Step 3: Cross multiply
   138,240x = 296,064 × 296,064
4. Step 4: Simplify right side
   138,240x = 87,653,892,096
5. Step 5: Solve for x
   x = 87,653,892,096/138,240
6. Step 6: Final answer
   x = 634,070.40