Finding the Third Proportional to 63,534 and 100,503

Step by Step Solution

1. Step 1: Write the proportion equation
   63,534 : 100,503 = 100,503 : x
2. Step 2: Convert to fraction form
   63,534/100,503 = 100,503/x
3. Step 3: Cross multiply
   63,534x = 100,503 × 100,503
4. Step 4: Simplify right side
   63,534x = 10,100,853,009
5. Step 5: Solve for x
   x = 10,100,853,009/63,534
6. Step 6: Final answer
   x = 158,983.43