Finding the Third Proportional to 81,650 and 174,964

Step by Step Solution

1. Step 1: Write the proportion equation
   81,650 : 174,964 = 174,964 : x
2. Step 2: Convert to fraction form
   81,650/174,964 = 174,964/x
3. Step 3: Cross multiply
   81,650x = 174,964 × 174,964
4. Step 4: Simplify right side
   81,650x = 30,612,401,296
5. Step 5: Solve for x
   x = 30,612,401,296/81,650
6. Step 6: Final answer
   x = 374,922.24