Finding the Third Proportional to 46,782 and 100,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,782 : 100,003.50 = 100,003.50 : x
2. Step 2: Convert to fraction form
   46,782/100,003.50 = 100,003.50/x
3. Step 3: Cross multiply
   46,782x = 100,003.50 × 100,003.50
4. Step 4: Simplify right side
   46,782x = 10,000,700,012.25
5. Step 5: Solve for x
   x = 10,000,700,012.25/46,782
6. Step 6: Final answer
   x = 213,772.39