Finding the Third Proportional to 83,185 and 127,990.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,185 : 127,990.50 = 127,990.50 : x
2. Step 2: Convert to fraction form
   83,185/127,990.50 = 127,990.50/x
3. Step 3: Cross multiply
   83,185x = 127,990.50 × 127,990.50
4. Step 4: Simplify right side
   83,185x = 16,381,568,090.25
5. Step 5: Solve for x
   x = 16,381,568,090.25/83,185
6. Step 6: Final answer
   x = 196,929.35