Finding the Third Proportional to 81,922.50 and 123,462

Step by Step Solution

1. Step 1: Write the proportion equation
   81,922.50 : 123,462 = 123,462 : x
2. Step 2: Convert to fraction form
   81,922.50/123,462 = 123,462/x
3. Step 3: Cross multiply
   81,922.50x = 123,462 × 123,462
4. Step 4: Simplify right side
   81,922.50x = 15,242,865,444
5. Step 5: Solve for x
   x = 15,242,865,444/81,922.50
6. Step 6: Final answer
   x = 186,064.46