Finding the Third Proportional to 82,506 and 123,939

Step by Step Solution

1. Step 1: Write the proportion equation
   82,506 : 123,939 = 123,939 : x
2. Step 2: Convert to fraction form
   82,506/123,939 = 123,939/x
3. Step 3: Cross multiply
   82,506x = 123,939 × 123,939
4. Step 4: Simplify right side
   82,506x = 15,360,875,721
5. Step 5: Solve for x
   x = 15,360,875,721/82,506
6. Step 6: Final answer
   x = 186,178.89