Finding the Third Proportional to 90,846 and 137,088

Step by Step Solution

1. Step 1: Write the proportion equation
   90,846 : 137,088 = 137,088 : x
2. Step 2: Convert to fraction form
   90,846/137,088 = 137,088/x
3. Step 3: Cross multiply
   90,846x = 137,088 × 137,088
4. Step 4: Simplify right side
   90,846x = 18,793,119,744
5. Step 5: Solve for x
   x = 18,793,119,744/90,846
6. Step 6: Final answer
   x = 206,867.88