Finding the Third Proportional to 82,374 and 180,786

Step by Step Solution

1. Step 1: Write the proportion equation
   82,374 : 180,786 = 180,786 : x
2. Step 2: Convert to fraction form
   82,374/180,786 = 180,786/x
3. Step 3: Cross multiply
   82,374x = 180,786 × 180,786
4. Step 4: Simplify right side
   82,374x = 32,683,577,796
5. Step 5: Solve for x
   x = 32,683,577,796/82,374
6. Step 6: Final answer
   x = 396,770.56