Finding the Third Proportional to 65,854 and 142,892

Step by Step Solution

1. Step 1: Write the proportion equation
   65,854 : 142,892 = 142,892 : x
2. Step 2: Convert to fraction form
   65,854/142,892 = 142,892/x
3. Step 3: Cross multiply
   65,854x = 142,892 × 142,892
4. Step 4: Simplify right side
   65,854x = 20,418,123,664
5. Step 5: Solve for x
   x = 20,418,123,664/65,854
6. Step 6: Final answer
   x = 310,051.38