Finding the Third Proportional to 45,566 and 100,102

Step by Step Solution

1. Step 1: Write the proportion equation
   45,566 : 100,102 = 100,102 : x
2. Step 2: Convert to fraction form
   45,566/100,102 = 100,102/x
3. Step 3: Cross multiply
   45,566x = 100,102 × 100,102
4. Step 4: Simplify right side
   45,566x = 10,020,410,404
5. Step 5: Solve for x
   x = 10,020,410,404/45,566
6. Step 6: Final answer
   x = 219,909.81