Finding the Third Proportional to 141,633 and 213,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,633 : 213,545.50 = 213,545.50 : x
2. Step 2: Convert to fraction form
   141,633/213,545.50 = 213,545.50/x
3. Step 3: Cross multiply
   141,633x = 213,545.50 × 213,545.50
4. Step 4: Simplify right side
   141,633x = 45,601,680,570.25
5. Step 5: Solve for x
   x = 45,601,680,570.25/141,633
6. Step 6: Final answer
   x = 321,970.73