Finding the Third Proportional to 90,170 and 138,298

Step by Step Solution

1. Step 1: Write the proportion equation
   90,170 : 138,298 = 138,298 : x
2. Step 2: Convert to fraction form
   90,170/138,298 = 138,298/x
3. Step 3: Cross multiply
   90,170x = 138,298 × 138,298
4. Step 4: Simplify right side
   90,170x = 19,126,336,804
5. Step 5: Solve for x
   x = 19,126,336,804/90,170
6. Step 6: Final answer
   x = 212,114.19