Finding the Third Proportional to 83,011.50 and 127,762

Step by Step Solution

1. Step 1: Write the proportion equation
   83,011.50 : 127,762 = 127,762 : x
2. Step 2: Convert to fraction form
   83,011.50/127,762 = 127,762/x
3. Step 3: Cross multiply
   83,011.50x = 127,762 × 127,762
4. Step 4: Simplify right side
   83,011.50x = 16,323,128,644
5. Step 5: Solve for x
   x = 16,323,128,644/83,011.50
6. Step 6: Final answer
   x = 196,636.96