Finding the Third Proportional to 83,453 and 185,564

Step by Step Solution

1. Step 1: Write the proportion equation
   83,453 : 185,564 = 185,564 : x
2. Step 2: Convert to fraction form
   83,453/185,564 = 185,564/x
3. Step 3: Cross multiply
   83,453x = 185,564 × 185,564
4. Step 4: Simplify right side
   83,453x = 34,433,998,096
5. Step 5: Solve for x
   x = 34,433,998,096/83,453
6. Step 6: Final answer
   x = 412,615.46