Finding the Third Proportional to 90,858 and 137,928

Step by Step Solution

1. Step 1: Write the proportion equation
   90,858 : 137,928 = 137,928 : x
2. Step 2: Convert to fraction form
   90,858/137,928 = 137,928/x
3. Step 3: Cross multiply
   90,858x = 137,928 × 137,928
4. Step 4: Simplify right side
   90,858x = 19,024,133,184
5. Step 5: Solve for x
   x = 19,024,133,184/90,858
6. Step 6: Final answer
   x = 209,383.14