Finding the Third Proportional to 82,506 and 179,820

Step by Step Solution

1. Step 1: Write the proportion equation
   82,506 : 179,820 = 179,820 : x
2. Step 2: Convert to fraction form
   82,506/179,820 = 179,820/x
3. Step 3: Cross multiply
   82,506x = 179,820 × 179,820
4. Step 4: Simplify right side
   82,506x = 32,335,232,400
5. Step 5: Solve for x
   x = 32,335,232,400/82,506
6. Step 6: Final answer
   x = 391,913.71