Finding the Third Proportional to 109,256 and 149,522

Step by Step Solution

1. Step 1: Write the proportion equation
   109,256 : 149,522 = 149,522 : x
2. Step 2: Convert to fraction form
   109,256/149,522 = 149,522/x
3. Step 3: Cross multiply
   109,256x = 149,522 × 149,522
4. Step 4: Simplify right side
   109,256x = 22,356,828,484
5. Step 5: Solve for x
   x = 22,356,828,484/109,256
6. Step 6: Final answer
   x = 204,627.92