Finding the Third Proportional to 82,265 and 124,410

Step by Step Solution

1. Step 1: Write the proportion equation
   82,265 : 124,410 = 124,410 : x
2. Step 2: Convert to fraction form
   82,265/124,410 = 124,410/x
3. Step 3: Cross multiply
   82,265x = 124,410 × 124,410
4. Step 4: Simplify right side
   82,265x = 15,477,848,100
5. Step 5: Solve for x
   x = 15,477,848,100/82,265
6. Step 6: Final answer
   x = 188,146.21