Finding the Third Proportional to 81,537 and 126,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,537 : 126,017.50 = 126,017.50 : x
2. Step 2: Convert to fraction form
   81,537/126,017.50 = 126,017.50/x
3. Step 3: Cross multiply
   81,537x = 126,017.50 × 126,017.50
4. Step 4: Simplify right side
   81,537x = 15,880,410,306.25
5. Step 5: Solve for x
   x = 15,880,410,306.25/81,537
6. Step 6: Final answer
   x = 194,763.24