Finding the Third Proportional to 83,772 and 127,631.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,772 : 127,631.25 = 127,631.25 : x
2. Step 2: Convert to fraction form
   83,772/127,631.25 = 127,631.25/x
3. Step 3: Cross multiply
   83,772x = 127,631.25 × 127,631.25
4. Step 4: Simplify right side
   83,772x = 16,289,735,976.56
5. Step 5: Solve for x
   x = 16,289,735,976.56/83,772
6. Step 6: Final answer
   x = 194,453.23