Finding the Third Proportional to 92,644 and 188,560

Step by Step Solution

1. Step 1: Write the proportion equation
   92,644 : 188,560 = 188,560 : x
2. Step 2: Convert to fraction form
   92,644/188,560 = 188,560/x
3. Step 3: Cross multiply
   92,644x = 188,560 × 188,560
4. Step 4: Simplify right side
   92,644x = 35,554,873,600
5. Step 5: Solve for x
   x = 35,554,873,600/92,644
6. Step 6: Final answer
   x = 383,779.56