Finding the Third Proportional to 81,962 and 123,521

Step by Step Solution

1. Step 1: Write the proportion equation
   81,962 : 123,521 = 123,521 : x
2. Step 2: Convert to fraction form
   81,962/123,521 = 123,521/x
3. Step 3: Cross multiply
   81,962x = 123,521 × 123,521
4. Step 4: Simplify right side
   81,962x = 15,257,437,441
5. Step 5: Solve for x
   x = 15,257,437,441/81,962
6. Step 6: Final answer
   x = 186,152.58