Finding the Third Proportional to 111,658 and 175,138

Step by Step Solution

1. Step 1: Write the proportion equation
   111,658 : 175,138 = 175,138 : x
2. Step 2: Convert to fraction form
   111,658/175,138 = 175,138/x
3. Step 3: Cross multiply
   111,658x = 175,138 × 175,138
4. Step 4: Simplify right side
   111,658x = 30,673,319,044
5. Step 5: Solve for x
   x = 30,673,319,044/111,658
6. Step 6: Final answer
   x = 274,707.76