Finding the Third Proportional to 69,600 and 148,320

Step by Step Solution

1. Step 1: Write the proportion equation
   69,600 : 148,320 = 148,320 : x
2. Step 2: Convert to fraction form
   69,600/148,320 = 148,320/x
3. Step 3: Cross multiply
   69,600x = 148,320 × 148,320
4. Step 4: Simplify right side
   69,600x = 21,998,822,400
5. Step 5: Solve for x
   x = 21,998,822,400/69,600
6. Step 6: Final answer
   x = 316,075.03