Finding the Third Proportional to 87,561 and 182,654

Step by Step Solution

1. Step 1: Write the proportion equation
   87,561 : 182,654 = 182,654 : x
2. Step 2: Convert to fraction form
   87,561/182,654 = 182,654/x
3. Step 3: Cross multiply
   87,561x = 182,654 × 182,654
4. Step 4: Simplify right side
   87,561x = 33,362,483,716
5. Step 5: Solve for x
   x = 33,362,483,716/87,561
6. Step 6: Final answer
   x = 381,019.90