Finding the Third Proportional to 85,563 and 113,551

Step by Step Solution

1. Step 1: Write the proportion equation
   85,563 : 113,551 = 113,551 : x
2. Step 2: Convert to fraction form
   85,563/113,551 = 113,551/x
3. Step 3: Cross multiply
   85,563x = 113,551 × 113,551
4. Step 4: Simplify right side
   85,563x = 12,893,829,601
5. Step 5: Solve for x
   x = 12,893,829,601/85,563
6. Step 6: Final answer
   x = 150,693.99