Finding the Third Proportional to 100,574 and 149,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,574 : 149,119.50 = 149,119.50 : x
2. Step 2: Convert to fraction form
   100,574/149,119.50 = 149,119.50/x
3. Step 3: Cross multiply
   100,574x = 149,119.50 × 149,119.50
4. Step 4: Simplify right side
   100,574x = 22,236,625,280.25
5. Step 5: Solve for x
   x = 22,236,625,280.25/100,574
6. Step 6: Final answer
   x = 221,097.16