Finding the Third Proportional to 82,244 and 176,962

Step by Step Solution

1. Step 1: Write the proportion equation
   82,244 : 176,962 = 176,962 : x
2. Step 2: Convert to fraction form
   82,244/176,962 = 176,962/x
3. Step 3: Cross multiply
   82,244x = 176,962 × 176,962
4. Step 4: Simplify right side
   82,244x = 31,315,549,444
5. Step 5: Solve for x
   x = 31,315,549,444/82,244
6. Step 6: Final answer
   x = 380,763.94