Finding the Third Proportional to 81,214 and 110,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,214 : 110,638.50 = 110,638.50 : x
2. Step 2: Convert to fraction form
   81,214/110,638.50 = 110,638.50/x
3. Step 3: Cross multiply
   81,214x = 110,638.50 × 110,638.50
4. Step 4: Simplify right side
   81,214x = 12,240,877,682.25
5. Step 5: Solve for x
   x = 12,240,877,682.25/81,214
6. Step 6: Final answer
   x = 150,723.74