Finding the Third Proportional to 55,119 and 82,522

Step by Step Solution

1. Step 1: Write the proportion equation
   55,119 : 82,522 = 82,522 : x
2. Step 2: Convert to fraction form
   55,119/82,522 = 82,522/x
3. Step 3: Cross multiply
   55,119x = 82,522 × 82,522
4. Step 4: Simplify right side
   55,119x = 6,809,880,484
5. Step 5: Solve for x
   x = 6,809,880,484/55,119
6. Step 6: Final answer
   x = 123,548.69