Finding the Third Proportional to 69,120 and 148,064

Step by Step Solution

1. Step 1: Write the proportion equation
   69,120 : 148,064 = 148,064 : x
2. Step 2: Convert to fraction form
   69,120/148,064 = 148,064/x
3. Step 3: Cross multiply
   69,120x = 148,064 × 148,064
4. Step 4: Simplify right side
   69,120x = 21,922,948,096
5. Step 5: Solve for x
   x = 21,922,948,096/69,120
6. Step 6: Final answer
   x = 317,172.28