Finding the Third Proportional to 100,201 and 150,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,201 : 150,025.50 = 150,025.50 : x
2. Step 2: Convert to fraction form
   100,201/150,025.50 = 150,025.50/x
3. Step 3: Cross multiply
   100,201x = 150,025.50 × 150,025.50
4. Step 4: Simplify right side
   100,201x = 22,507,650,650.25
5. Step 5: Solve for x
   x = 22,507,650,650.25/100,201
6. Step 6: Final answer
   x = 224,625.01