Finding the Third Proportional to 98,191 and 150,140

Step by Step Solution

1. Step 1: Write the proportion equation
   98,191 : 150,140 = 150,140 : x
2. Step 2: Convert to fraction form
   98,191/150,140 = 150,140/x
3. Step 3: Cross multiply
   98,191x = 150,140 × 150,140
4. Step 4: Simplify right side
   98,191x = 22,542,019,600
5. Step 5: Solve for x
   x = 22,542,019,600/98,191
6. Step 6: Final answer
   x = 229,573.17