Finding the Third Proportional to 115,200 and 164,736

Step by Step Solution

1. Step 1: Write the proportion equation
   115,200 : 164,736 = 164,736 : x
2. Step 2: Convert to fraction form
   115,200/164,736 = 164,736/x
3. Step 3: Cross multiply
   115,200x = 164,736 × 164,736
4. Step 4: Simplify right side
   115,200x = 27,137,949,696
5. Step 5: Solve for x
   x = 27,137,949,696/115,200
6. Step 6: Final answer
   x = 235,572.48