Finding the Third Proportional to 83,462 and 185,590

Step by Step Solution

1. Step 1: Write the proportion equation
   83,462 : 185,590 = 185,590 : x
2. Step 2: Convert to fraction form
   83,462/185,590 = 185,590/x
3. Step 3: Cross multiply
   83,462x = 185,590 × 185,590
4. Step 4: Simplify right side
   83,462x = 34,443,648,100
5. Step 5: Solve for x
   x = 34,443,648,100/83,462
6. Step 6: Final answer
   x = 412,686.59