Finding the Third Proportional to 106,942.50 and 149,508

Step by Step Solution

1. Step 1: Write the proportion equation
   106,942.50 : 149,508 = 149,508 : x
2. Step 2: Convert to fraction form
   106,942.50/149,508 = 149,508/x
3. Step 3: Cross multiply
   106,942.50x = 149,508 × 149,508
4. Step 4: Simplify right side
   106,942.50x = 22,352,642,064
5. Step 5: Solve for x
   x = 22,352,642,064/106,942.50
6. Step 6: Final answer
   x = 209,015.52