Finding the Third Proportional to 81,559 and 123,466

Step by Step Solution

1. Step 1: Write the proportion equation
   81,559 : 123,466 = 123,466 : x
2. Step 2: Convert to fraction form
   81,559/123,466 = 123,466/x
3. Step 3: Cross multiply
   81,559x = 123,466 × 123,466
4. Step 4: Simplify right side
   81,559x = 15,243,853,156
5. Step 5: Solve for x
   x = 15,243,853,156/81,559
6. Step 6: Final answer
   x = 186,905.84