Finding the Third Proportional to 82,273 and 122,870

Step by Step Solution

1. Step 1: Write the proportion equation
   82,273 : 122,870 = 122,870 : x
2. Step 2: Convert to fraction form
   82,273/122,870 = 122,870/x
3. Step 3: Cross multiply
   82,273x = 122,870 × 122,870
4. Step 4: Simplify right side
   82,273x = 15,097,036,900
5. Step 5: Solve for x
   x = 15,097,036,900/82,273
6. Step 6: Final answer
   x = 183,499.29