Finding the Third Proportional to 89,190 and 138,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,190 : 138,037.50 = 138,037.50 : x
2. Step 2: Convert to fraction form
   89,190/138,037.50 = 138,037.50/x
3. Step 3: Cross multiply
   89,190x = 138,037.50 × 138,037.50
4. Step 4: Simplify right side
   89,190x = 19,054,351,406.25
5. Step 5: Solve for x
   x = 19,054,351,406.25/89,190
6. Step 6: Final answer
   x = 213,637.76