Finding the Third Proportional to 109,795.50 and 149,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,795.50 : 149,141.25 = 149,141.25 : x
2. Step 2: Convert to fraction form
   109,795.50/149,141.25 = 149,141.25/x
3. Step 3: Cross multiply
   109,795.50x = 149,141.25 × 149,141.25
4. Step 4: Simplify right side
   109,795.50x = 22,243,112,451.56
5. Step 5: Solve for x
   x = 22,243,112,451.56/109,795.50
6. Step 6: Final answer
   x = 202,586.74