Finding the Third Proportional to 89,501 and 137,672

Step by Step Solution

1. Step 1: Write the proportion equation
   89,501 : 137,672 = 137,672 : x
2. Step 2: Convert to fraction form
   89,501/137,672 = 137,672/x
3. Step 3: Cross multiply
   89,501x = 137,672 × 137,672
4. Step 4: Simplify right side
   89,501x = 18,953,579,584
5. Step 5: Solve for x
   x = 18,953,579,584/89,501
6. Step 6: Final answer
   x = 211,769.47