Finding the Third Proportional to 82,012 and 122,590

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012 : 122,590 = 122,590 : x
2. Step 2: Convert to fraction form
   82,012/122,590 = 122,590/x
3. Step 3: Cross multiply
   82,012x = 122,590 × 122,590
4. Step 4: Simplify right side
   82,012x = 15,028,308,100
5. Step 5: Solve for x
   x = 15,028,308,100/82,012
6. Step 6: Final answer
   x = 183,245.23