Finding the Third Proportional to 85,622 and 113,643

Step by Step Solution

1. Step 1: Write the proportion equation
   85,622 : 113,643 = 113,643 : x
2. Step 2: Convert to fraction form
   85,622/113,643 = 113,643/x
3. Step 3: Cross multiply
   85,622x = 113,643 × 113,643
4. Step 4: Simplify right side
   85,622x = 12,914,731,449
5. Step 5: Solve for x
   x = 12,914,731,449/85,622
6. Step 6: Final answer
   x = 150,834.27