Finding the Third Proportional to 90,549 and 137,763

Step by Step Solution

1. Step 1: Write the proportion equation
   90,549 : 137,763 = 137,763 : x
2. Step 2: Convert to fraction form
   90,549/137,763 = 137,763/x
3. Step 3: Cross multiply
   90,549x = 137,763 × 137,763
4. Step 4: Simplify right side
   90,549x = 18,978,644,169
5. Step 5: Solve for x
   x = 18,978,644,169/90,549
6. Step 6: Final answer
   x = 209,595.29