Finding the Third Proportional to 82,345 and 167,606

Step by Step Solution

1. Step 1: Write the proportion equation
   82,345 : 167,606 = 167,606 : x
2. Step 2: Convert to fraction form
   82,345/167,606 = 167,606/x
3. Step 3: Cross multiply
   82,345x = 167,606 × 167,606
4. Step 4: Simplify right side
   82,345x = 28,091,771,236
5. Step 5: Solve for x
   x = 28,091,771,236/82,345
6. Step 6: Final answer
   x = 341,147.26