Finding the Third Proportional to 82,688 and 131,415

Step by Step Solution

1. Step 1: Write the proportion equation
   82,688 : 131,415 = 131,415 : x
2. Step 2: Convert to fraction form
   82,688/131,415 = 131,415/x
3. Step 3: Cross multiply
   82,688x = 131,415 × 131,415
4. Step 4: Simplify right side
   82,688x = 17,269,902,225
5. Step 5: Solve for x
   x = 17,269,902,225/82,688
6. Step 6: Final answer
   x = 208,856.21