Finding the Third Proportional to 81,706.50 and 175,077

Step by Step Solution

1. Step 1: Write the proportion equation
   81,706.50 : 175,077 = 175,077 : x
2. Step 2: Convert to fraction form
   81,706.50/175,077 = 175,077/x
3. Step 3: Cross multiply
   81,706.50x = 175,077 × 175,077
4. Step 4: Simplify right side
   81,706.50x = 30,651,955,929
5. Step 5: Solve for x
   x = 30,651,955,929/81,706.50
6. Step 6: Final answer
   x = 375,147.09