Finding the Third Proportional to 101,760 and 148,020

Step by Step Solution

1. Step 1: Write the proportion equation
   101,760 : 148,020 = 148,020 : x
2. Step 2: Convert to fraction form
   101,760/148,020 = 148,020/x
3. Step 3: Cross multiply
   101,760x = 148,020 × 148,020
4. Step 4: Simplify right side
   101,760x = 21,909,920,400
5. Step 5: Solve for x
   x = 21,909,920,400/101,760
6. Step 6: Final answer
   x = 215,309.75