Finding the Third Proportional to 64,854 and 141,064

Step by Step Solution

1. Step 1: Write the proportion equation
   64,854 : 141,064 = 141,064 : x
2. Step 2: Convert to fraction form
   64,854/141,064 = 141,064/x
3. Step 3: Cross multiply
   64,854x = 141,064 × 141,064
4. Step 4: Simplify right side
   64,854x = 19,899,052,096
5. Step 5: Solve for x
   x = 19,899,052,096/64,854
6. Step 6: Final answer
   x = 306,828.45