Finding the Third Proportional to 82,181 and 178,434

Step by Step Solution

1. Step 1: Write the proportion equation
   82,181 : 178,434 = 178,434 : x
2. Step 2: Convert to fraction form
   82,181/178,434 = 178,434/x
3. Step 3: Cross multiply
   82,181x = 178,434 × 178,434
4. Step 4: Simplify right side
   82,181x = 31,838,692,356
5. Step 5: Solve for x
   x = 31,838,692,356/82,181
6. Step 6: Final answer
   x = 387,421.57