Finding the Third Proportional to 82,588 and 114,916

Step by Step Solution

1. Step 1: Write the proportion equation
   82,588 : 114,916 = 114,916 : x
2. Step 2: Convert to fraction form
   82,588/114,916 = 114,916/x
3. Step 3: Cross multiply
   82,588x = 114,916 × 114,916
4. Step 4: Simplify right side
   82,588x = 13,205,687,056
5. Step 5: Solve for x
   x = 13,205,687,056/82,588
6. Step 6: Final answer
   x = 159,898.38