Finding the Third Proportional to 111,029 and 164,083

Step by Step Solution

1. Step 1: Write the proportion equation
   111,029 : 164,083 = 164,083 : x
2. Step 2: Convert to fraction form
   111,029/164,083 = 164,083/x
3. Step 3: Cross multiply
   111,029x = 164,083 × 164,083
4. Step 4: Simplify right side
   111,029x = 26,923,230,889
5. Step 5: Solve for x
   x = 26,923,230,889/111,029
6. Step 6: Final answer
   x = 242,488.28