Finding the Third Proportional to 89,462 and 137,001

Step by Step Solution

1. Step 1: Write the proportion equation
   89,462 : 137,001 = 137,001 : x
2. Step 2: Convert to fraction form
   89,462/137,001 = 137,001/x
3. Step 3: Cross multiply
   89,462x = 137,001 × 137,001
4. Step 4: Simplify right side
   89,462x = 18,769,274,001
5. Step 5: Solve for x
   x = 18,769,274,001/89,462
6. Step 6: Final answer
   x = 209,801.64