Finding the Third Proportional to 42,623 and 89,739

Step by Step Solution

1. Step 1: Write the proportion equation
   42,623 : 89,739 = 89,739 : x
2. Step 2: Convert to fraction form
   42,623/89,739 = 89,739/x
3. Step 3: Cross multiply
   42,623x = 89,739 × 89,739
4. Step 4: Simplify right side
   42,623x = 8,053,088,121
5. Step 5: Solve for x
   x = 8,053,088,121/42,623
6. Step 6: Final answer
   x = 188,937.62