Finding the Third Proportional to 82,850 and 174,532

Step by Step Solution

1. Step 1: Write the proportion equation
   82,850 : 174,532 = 174,532 : x
2. Step 2: Convert to fraction form
   82,850/174,532 = 174,532/x
3. Step 3: Cross multiply
   82,850x = 174,532 × 174,532
4. Step 4: Simplify right side
   82,850x = 30,461,419,024
5. Step 5: Solve for x
   x = 30,461,419,024/82,850
6. Step 6: Final answer
   x = 367,669.51