Finding the Third Proportional to 101,736 and 155,640

Step by Step Solution

1. Step 1: Write the proportion equation
   101,736 : 155,640 = 155,640 : x
2. Step 2: Convert to fraction form
   101,736/155,640 = 155,640/x
3. Step 3: Cross multiply
   101,736x = 155,640 × 155,640
4. Step 4: Simplify right side
   101,736x = 24,223,809,600
5. Step 5: Solve for x
   x = 24,223,809,600/101,736
6. Step 6: Final answer
   x = 238,104.60