Finding the Third Proportional to 83,457 and 185,572

Step by Step Solution

1. Step 1: Write the proportion equation
   83,457 : 185,572 = 185,572 : x
2. Step 2: Convert to fraction form
   83,457/185,572 = 185,572/x
3. Step 3: Cross multiply
   83,457x = 185,572 × 185,572
4. Step 4: Simplify right side
   83,457x = 34,436,967,184
5. Step 5: Solve for x
   x = 34,436,967,184/83,457
6. Step 6: Final answer
   x = 412,631.26