Finding the Third Proportional to 61,020 and 142,560

Step by Step Solution

1. Step 1: Write the proportion equation
   61,020 : 142,560 = 142,560 : x
2. Step 2: Convert to fraction form
   61,020/142,560 = 142,560/x
3. Step 3: Cross multiply
   61,020x = 142,560 × 142,560
4. Step 4: Simplify right side
   61,020x = 20,323,353,600
5. Step 5: Solve for x
   x = 20,323,353,600/61,020
6. Step 6: Final answer
   x = 333,060.53