Finding the Third Proportional to 82,184 and 131,052

Step by Step Solution

1. Step 1: Write the proportion equation
   82,184 : 131,052 = 131,052 : x
2. Step 2: Convert to fraction form
   82,184/131,052 = 131,052/x
3. Step 3: Cross multiply
   82,184x = 131,052 × 131,052
4. Step 4: Simplify right side
   82,184x = 17,174,626,704
5. Step 5: Solve for x
   x = 17,174,626,704/82,184
6. Step 6: Final answer
   x = 208,977.74