Finding the Third Proportional to 83,832 and 170,094

Step by Step Solution

1. Step 1: Write the proportion equation
   83,832 : 170,094 = 170,094 : x
2. Step 2: Convert to fraction form
   83,832/170,094 = 170,094/x
3. Step 3: Cross multiply
   83,832x = 170,094 × 170,094
4. Step 4: Simplify right side
   83,832x = 28,931,968,836
5. Step 5: Solve for x
   x = 28,931,968,836/83,832
6. Step 6: Final answer
   x = 345,118.44