Finding the Third Proportional to 90,780 and 210,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,780 : 210,952.50 = 210,952.50 : x
2. Step 2: Convert to fraction form
   90,780/210,952.50 = 210,952.50/x
3. Step 3: Cross multiply
   90,780x = 210,952.50 × 210,952.50
4. Step 4: Simplify right side
   90,780x = 44,500,957,256.25
5. Step 5: Solve for x
   x = 44,500,957,256.25/90,780
6. Step 6: Final answer
   x = 490,206.62