Finding the Third Proportional to 111,696 and 146,808

Step by Step Solution

1. Step 1: Write the proportion equation
   111,696 : 146,808 = 146,808 : x
2. Step 2: Convert to fraction form
   111,696/146,808 = 146,808/x
3. Step 3: Cross multiply
   111,696x = 146,808 × 146,808
4. Step 4: Simplify right side
   111,696x = 21,552,588,864
5. Step 5: Solve for x
   x = 21,552,588,864/111,696
6. Step 6: Final answer
   x = 192,957.57