Finding the Third Proportional to 82,824 and 110,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,824 : 110,348.50 = 110,348.50 : x
2. Step 2: Convert to fraction form
   82,824/110,348.50 = 110,348.50/x
3. Step 3: Cross multiply
   82,824x = 110,348.50 × 110,348.50
4. Step 4: Simplify right side
   82,824x = 12,176,791,452.25
5. Step 5: Solve for x
   x = 12,176,791,452.25/82,824
6. Step 6: Final answer
   x = 147,020.08