Finding the Third Proportional to 42,426 and 89,494

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426 : 89,494 = 89,494 : x
2. Step 2: Convert to fraction form
   42,426/89,494 = 89,494/x
3. Step 3: Cross multiply
   42,426x = 89,494 × 89,494
4. Step 4: Simplify right side
   42,426x = 8,009,176,036
5. Step 5: Solve for x
   x = 8,009,176,036/42,426
6. Step 6: Final answer
   x = 188,779.90