Finding the Third Proportional to 81,962 and 178,820

Step by Step Solution

1. Step 1: Write the proportion equation
   81,962 : 178,820 = 178,820 : x
2. Step 2: Convert to fraction form
   81,962/178,820 = 178,820/x
3. Step 3: Cross multiply
   81,962x = 178,820 × 178,820
4. Step 4: Simplify right side
   81,962x = 31,976,592,400
5. Step 5: Solve for x
   x = 31,976,592,400/81,962
6. Step 6: Final answer
   x = 390,139.24