Finding the Third Proportional to 106,926 and 149,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,926 : 149,488.50 = 149,488.50 : x
2. Step 2: Convert to fraction form
   106,926/149,488.50 = 149,488.50/x
3. Step 3: Cross multiply
   106,926x = 149,488.50 × 149,488.50
4. Step 4: Simplify right side
   106,926x = 22,346,811,632.25
5. Step 5: Solve for x
   x = 22,346,811,632.25/106,926
6. Step 6: Final answer
   x = 208,993.24