Finding the Third Proportional to 83,538 and 127,953.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,538 : 127,953.25 = 127,953.25 : x
2. Step 2: Convert to fraction form
   83,538/127,953.25 = 127,953.25/x
3. Step 3: Cross multiply
   83,538x = 127,953.25 × 127,953.25
4. Step 4: Simplify right side
   83,538x = 16,372,034,185.56
5. Step 5: Solve for x
   x = 16,372,034,185.56/83,538
6. Step 6: Final answer
   x = 195,983.08