Finding the Third Proportional to 72,831 and 109,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,831 : 109,762.50 = 109,762.50 : x
2. Step 2: Convert to fraction form
   72,831/109,762.50 = 109,762.50/x
3. Step 3: Cross multiply
   72,831x = 109,762.50 × 109,762.50
4. Step 4: Simplify right side
   72,831x = 12,047,806,406.25
5. Step 5: Solve for x
   x = 12,047,806,406.25/72,831
6. Step 6: Final answer
   x = 165,421.41