Finding the Third Proportional to 111,321 and 170,658

Step by Step Solution

1. Step 1: Write the proportion equation
   111,321 : 170,658 = 170,658 : x
2. Step 2: Convert to fraction form
   111,321/170,658 = 170,658/x
3. Step 3: Cross multiply
   111,321x = 170,658 × 170,658
4. Step 4: Simplify right side
   111,321x = 29,124,152,964
5. Step 5: Solve for x
   x = 29,124,152,964/111,321
6. Step 6: Final answer
   x = 261,623.17