Finding the Third Proportional to 64,854 and 142,010

Step by Step Solution

1. Step 1: Write the proportion equation
   64,854 : 142,010 = 142,010 : x
2. Step 2: Convert to fraction form
   64,854/142,010 = 142,010/x
3. Step 3: Cross multiply
   64,854x = 142,010 × 142,010
4. Step 4: Simplify right side
   64,854x = 20,166,840,100
5. Step 5: Solve for x
   x = 20,166,840,100/64,854
6. Step 6: Final answer
   x = 310,957.54