Finding the Third Proportional to 69,084 and 147,648

Step by Step Solution

1. Step 1: Write the proportion equation
   69,084 : 147,648 = 147,648 : x
2. Step 2: Convert to fraction form
   69,084/147,648 = 147,648/x
3. Step 3: Cross multiply
   69,084x = 147,648 × 147,648
4. Step 4: Simplify right side
   69,084x = 21,799,931,904
5. Step 5: Solve for x
   x = 21,799,931,904/69,084
6. Step 6: Final answer
   x = 315,556.89