Finding the Third Proportional to 83,456 and 185,570

Step by Step Solution

1. Step 1: Write the proportion equation
   83,456 : 185,570 = 185,570 : x
2. Step 2: Convert to fraction form
   83,456/185,570 = 185,570/x
3. Step 3: Cross multiply
   83,456x = 185,570 × 185,570
4. Step 4: Simplify right side
   83,456x = 34,436,224,900
5. Step 5: Solve for x
   x = 34,436,224,900/83,456
6. Step 6: Final answer
   x = 412,627.31