Finding the Third Proportional to 109,928 and 149,328

Step by Step Solution

1. Step 1: Write the proportion equation
   109,928 : 149,328 = 149,328 : x
2. Step 2: Convert to fraction form
   109,928/149,328 = 149,328/x
3. Step 3: Cross multiply
   109,928x = 149,328 × 149,328
4. Step 4: Simplify right side
   109,928x = 22,298,851,584
5. Step 5: Solve for x
   x = 22,298,851,584/109,928
6. Step 6: Final answer
   x = 202,849.61