Finding the Third Proportional to 141,846 and 213,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,846 : 213,298.50 = 213,298.50 : x
2. Step 2: Convert to fraction form
   141,846/213,298.50 = 213,298.50/x
3. Step 3: Cross multiply
   141,846x = 213,298.50 × 213,298.50
4. Step 4: Simplify right side
   141,846x = 45,496,250,102.25
5. Step 5: Solve for x
   x = 45,496,250,102.25/141,846
6. Step 6: Final answer
   x = 320,743.98