Finding the Third Proportional to 90,519 and 137,236.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,519 : 137,236.50 = 137,236.50 : x
2. Step 2: Convert to fraction form
   90,519/137,236.50 = 137,236.50/x
3. Step 3: Cross multiply
   90,519x = 137,236.50 × 137,236.50
4. Step 4: Simplify right side
   90,519x = 18,833,856,932.25
5. Step 5: Solve for x
   x = 18,833,856,932.25/90,519
6. Step 6: Final answer
   x = 208,065.23