Finding the Third Proportional to 84,190 and 140,298

Step by Step Solution

1. Step 1: Write the proportion equation
   84,190 : 140,298 = 140,298 : x
2. Step 2: Convert to fraction form
   84,190/140,298 = 140,298/x
3. Step 3: Cross multiply
   84,190x = 140,298 × 140,298
4. Step 4: Simplify right side
   84,190x = 19,683,528,804
5. Step 5: Solve for x
   x = 19,683,528,804/84,190
6. Step 6: Final answer
   x = 233,798.89