Finding the Third Proportional to 81,762 and 123,366

Step by Step Solution

1. Step 1: Write the proportion equation
   81,762 : 123,366 = 123,366 : x
2. Step 2: Convert to fraction form
   81,762/123,366 = 123,366/x
3. Step 3: Cross multiply
   81,762x = 123,366 × 123,366
4. Step 4: Simplify right side
   81,762x = 15,219,169,956
5. Step 5: Solve for x
   x = 15,219,169,956/81,762
6. Step 6: Final answer
   x = 186,139.89