Finding the Third Proportional to 128,570 and 196,118

Step by Step Solution

1. Step 1: Write the proportion equation
   128,570 : 196,118 = 196,118 : x
2. Step 2: Convert to fraction form
   128,570/196,118 = 196,118/x
3. Step 3: Cross multiply
   128,570x = 196,118 × 196,118
4. Step 4: Simplify right side
   128,570x = 38,462,269,924
5. Step 5: Solve for x
   x = 38,462,269,924/128,570
6. Step 6: Final answer
   x = 299,154.31