Finding the Third Proportional to 111,434 and 161,003

Step by Step Solution

1. Step 1: Write the proportion equation
   111,434 : 161,003 = 161,003 : x
2. Step 2: Convert to fraction form
   111,434/161,003 = 161,003/x
3. Step 3: Cross multiply
   111,434x = 161,003 × 161,003
4. Step 4: Simplify right side
   111,434x = 25,921,966,009
5. Step 5: Solve for x
   x = 25,921,966,009/111,434
6. Step 6: Final answer
   x = 232,621.70