Finding the Third Proportional to 90,288 and 135,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,288 : 135,436.50 = 135,436.50 : x
2. Step 2: Convert to fraction form
   90,288/135,436.50 = 135,436.50/x
3. Step 3: Cross multiply
   90,288x = 135,436.50 × 135,436.50
4. Step 4: Simplify right side
   90,288x = 18,343,045,532.25
5. Step 5: Solve for x
   x = 18,343,045,532.25/90,288
6. Step 6: Final answer
   x = 203,161.50