Finding the Third Proportional to 100,782 and 150,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,782 : 150,646.50 = 150,646.50 : x
2. Step 2: Convert to fraction form
   100,782/150,646.50 = 150,646.50/x
3. Step 3: Cross multiply
   100,782x = 150,646.50 × 150,646.50
4. Step 4: Simplify right side
   100,782x = 22,694,367,962.25
5. Step 5: Solve for x
   x = 22,694,367,962.25/100,782
6. Step 6: Final answer
   x = 225,182.75