Finding the Third Proportional to 57,984 and 84,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,984 : 84,514.50 = 84,514.50 : x
2. Step 2: Convert to fraction form
   57,984/84,514.50 = 84,514.50/x
3. Step 3: Cross multiply
   57,984x = 84,514.50 × 84,514.50
4. Step 4: Simplify right side
   57,984x = 7,142,700,710.25
5. Step 5: Solve for x
   x = 7,142,700,710.25/57,984
6. Step 6: Final answer
   x = 123,183.99