Finding the Third Proportional to 100,770 and 150,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,770 : 150,628.50 = 150,628.50 : x
2. Step 2: Convert to fraction form
   100,770/150,628.50 = 150,628.50/x
3. Step 3: Cross multiply
   100,770x = 150,628.50 × 150,628.50
4. Step 4: Simplify right side
   100,770x = 22,688,945,012.25
5. Step 5: Solve for x
   x = 22,688,945,012.25/100,770
6. Step 6: Final answer
   x = 225,155.75