Finding the Third Proportional to 89,871 and 137,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,871 : 137,533.50 = 137,533.50 : x
2. Step 2: Convert to fraction form
   89,871/137,533.50 = 137,533.50/x
3. Step 3: Cross multiply
   89,871x = 137,533.50 × 137,533.50
4. Step 4: Simplify right side
   89,871x = 18,915,463,622.25
5. Step 5: Solve for x
   x = 18,915,463,622.25/89,871
6. Step 6: Final answer
   x = 210,473.50