Finding the Third Proportional to 53,098 and 111,308

Step by Step Solution

1. Step 1: Write the proportion equation
   53,098 : 111,308 = 111,308 : x
2. Step 2: Convert to fraction form
   53,098/111,308 = 111,308/x
3. Step 3: Cross multiply
   53,098x = 111,308 × 111,308
4. Step 4: Simplify right side
   53,098x = 12,389,470,864
5. Step 5: Solve for x
   x = 12,389,470,864/53,098
6. Step 6: Final answer
   x = 233,332.16