Finding the Third Proportional to 141,669 and 213,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,669 : 213,868.50 = 213,868.50 : x
2. Step 2: Convert to fraction form
   141,669/213,868.50 = 213,868.50/x
3. Step 3: Cross multiply
   141,669x = 213,868.50 × 213,868.50
4. Step 4: Simplify right side
   141,669x = 45,739,735,292.25
5. Step 5: Solve for x
   x = 45,739,735,292.25/141,669
6. Step 6: Final answer
   x = 322,863.40