Finding the Third Proportional to 177,606 and 271,694.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,606 : 271,694.25 = 271,694.25 : x
2. Step 2: Convert to fraction form
   177,606/271,694.25 = 271,694.25/x
3. Step 3: Cross multiply
   177,606x = 271,694.25 × 271,694.25
4. Step 4: Simplify right side
   177,606x = 73,817,765,483.06
5. Step 5: Solve for x
   x = 73,817,765,483.06/177,606
6. Step 6: Final answer
   x = 415,626.53