Finding the Third Proportional to 83,476 and 185,613

Step by Step Solution

1. Step 1: Write the proportion equation
   83,476 : 185,613 = 185,613 : x
2. Step 2: Convert to fraction form
   83,476/185,613 = 185,613/x
3. Step 3: Cross multiply
   83,476x = 185,613 × 185,613
4. Step 4: Simplify right side
   83,476x = 34,452,185,769
5. Step 5: Solve for x
   x = 34,452,185,769/83,476
6. Step 6: Final answer
   x = 412,719.65