Finding the Third Proportional to 81,117 and 175,932

Step by Step Solution

1. Step 1: Write the proportion equation
   81,117 : 175,932 = 175,932 : x
2. Step 2: Convert to fraction form
   81,117/175,932 = 175,932/x
3. Step 3: Cross multiply
   81,117x = 175,932 × 175,932
4. Step 4: Simplify right side
   81,117x = 30,952,068,624
5. Step 5: Solve for x
   x = 30,952,068,624/81,117
6. Step 6: Final answer
   x = 381,573.14