Finding the Third Proportional to 39,494 and 84,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,494 : 84,615.50 = 84,615.50 : x
2. Step 2: Convert to fraction form
   39,494/84,615.50 = 84,615.50/x
3. Step 3: Cross multiply
   39,494x = 84,615.50 × 84,615.50
4. Step 4: Simplify right side
   39,494x = 7,159,782,840.25
5. Step 5: Solve for x
   x = 7,159,782,840.25/39,494
6. Step 6: Final answer
   x = 181,287.86