Finding the Third Proportional to 91,983 and 123,614

Step by Step Solution

1. Step 1: Write the proportion equation
   91,983 : 123,614 = 123,614 : x
2. Step 2: Convert to fraction form
   91,983/123,614 = 123,614/x
3. Step 3: Cross multiply
   91,983x = 123,614 × 123,614
4. Step 4: Simplify right side
   91,983x = 15,280,420,996
5. Step 5: Solve for x
   x = 15,280,420,996/91,983
6. Step 6: Final answer
   x = 166,122.23