Finding the Third Proportional to 156,096 and 368,064

Step by Step Solution

1. Step 1: Write the proportion equation
   156,096 : 368,064 = 368,064 : x
2. Step 2: Convert to fraction form
   156,096/368,064 = 368,064/x
3. Step 3: Cross multiply
   156,096x = 368,064 × 368,064
4. Step 4: Simplify right side
   156,096x = 135,471,108,096
5. Step 5: Solve for x
   x = 135,471,108,096/156,096
6. Step 6: Final answer
   x = 867,870.46