Finding the Third Proportional to 85,848 and 117,640

Step by Step Solution

1. Step 1: Write the proportion equation
   85,848 : 117,640 = 117,640 : x
2. Step 2: Convert to fraction form
   85,848/117,640 = 117,640/x
3. Step 3: Cross multiply
   85,848x = 117,640 × 117,640
4. Step 4: Simplify right side
   85,848x = 13,839,169,600
5. Step 5: Solve for x
   x = 13,839,169,600/85,848
6. Step 6: Final answer
   x = 161,205.50