Finding the Third Proportional to 82,600 and 120,428

Step by Step Solution

1. Step 1: Write the proportion equation
   82,600 : 120,428 = 120,428 : x
2. Step 2: Convert to fraction form
   82,600/120,428 = 120,428/x
3. Step 3: Cross multiply
   82,600x = 120,428 × 120,428
4. Step 4: Simplify right side
   82,600x = 14,502,903,184
5. Step 5: Solve for x
   x = 14,502,903,184/82,600
6. Step 6: Final answer
   x = 175,579.94