Finding the Third Proportional to 82,830.75 and 110,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,830.75 : 110,357.50 = 110,357.50 : x
2. Step 2: Convert to fraction form
   82,830.75/110,357.50 = 110,357.50/x
3. Step 3: Cross multiply
   82,830.75x = 110,357.50 × 110,357.50
4. Step 4: Simplify right side
   82,830.75x = 12,178,777,806.25
5. Step 5: Solve for x
   x = 12,178,777,806.25/82,830.75
6. Step 6: Final answer
   x = 147,032.08