Finding the Third Proportional to 55,983 and 84,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,983 : 84,514.50 = 84,514.50 : x
2. Step 2: Convert to fraction form
   55,983/84,514.50 = 84,514.50/x
3. Step 3: Cross multiply
   55,983x = 84,514.50 × 84,514.50
4. Step 4: Simplify right side
   55,983x = 7,142,700,710.25
5. Step 5: Solve for x
   x = 7,142,700,710.25/55,983
6. Step 6: Final answer
   x = 127,586.96