Finding the Third Proportional to 111,364 and 160,902

Step by Step Solution

1. Step 1: Write the proportion equation
   111,364 : 160,902 = 160,902 : x
2. Step 2: Convert to fraction form
   111,364/160,902 = 160,902/x
3. Step 3: Cross multiply
   111,364x = 160,902 × 160,902
4. Step 4: Simplify right side
   111,364x = 25,889,453,604
5. Step 5: Solve for x
   x = 25,889,453,604/111,364
6. Step 6: Final answer
   x = 232,475.97