Finding the Third Proportional to 141,921 and 213,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,921 : 213,475.50 = 213,475.50 : x
2. Step 2: Convert to fraction form
   141,921/213,475.50 = 213,475.50/x
3. Step 3: Cross multiply
   141,921x = 213,475.50 × 213,475.50
4. Step 4: Simplify right side
   141,921x = 45,571,789,100.25
5. Step 5: Solve for x
   x = 45,571,789,100.25/141,921
6. Step 6: Final answer
   x = 321,106.74