Finding the Third Proportional to 82,584 and 114,910

Step by Step Solution

1. Step 1: Write the proportion equation
   82,584 : 114,910 = 114,910 : x
2. Step 2: Convert to fraction form
   82,584/114,910 = 114,910/x
3. Step 3: Cross multiply
   82,584x = 114,910 × 114,910
4. Step 4: Simplify right side
   82,584x = 13,204,308,100
5. Step 5: Solve for x
   x = 13,204,308,100/82,584
6. Step 6: Final answer
   x = 159,889.42