Finding the Third Proportional to 49,086 and 83,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,086 : 83,713.50 = 83,713.50 : x
2. Step 2: Convert to fraction form
   49,086/83,713.50 = 83,713.50/x
3. Step 3: Cross multiply
   49,086x = 83,713.50 × 83,713.50
4. Step 4: Simplify right side
   49,086x = 7,007,950,082.25
5. Step 5: Solve for x
   x = 7,007,950,082.25/49,086
6. Step 6: Final answer
   x = 142,768.82