Finding the Third Proportional to 123,921 and 196,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,921 : 196,953.50 = 196,953.50 : x
2. Step 2: Convert to fraction form
   123,921/196,953.50 = 196,953.50/x
3. Step 3: Cross multiply
   123,921x = 196,953.50 × 196,953.50
4. Step 4: Simplify right side
   123,921x = 38,790,681,162.25
5. Step 5: Solve for x
   x = 38,790,681,162.25/123,921
6. Step 6: Final answer
   x = 313,027.50