Finding the Third Proportional to 77,384 and 104,406

Step by Step Solution

1. Step 1: Write the proportion equation
   77,384 : 104,406 = 104,406 : x
2. Step 2: Convert to fraction form
   77,384/104,406 = 104,406/x
3. Step 3: Cross multiply
   77,384x = 104,406 × 104,406
4. Step 4: Simplify right side
   77,384x = 10,900,612,836
5. Step 5: Solve for x
   x = 10,900,612,836/77,384
6. Step 6: Final answer
   x = 140,863.91