Finding the Third Proportional to 89,270 and 138,314

Step by Step Solution

1. Step 1: Write the proportion equation
   89,270 : 138,314 = 138,314 : x
2. Step 2: Convert to fraction form
   89,270/138,314 = 138,314/x
3. Step 3: Cross multiply
   89,270x = 138,314 × 138,314
4. Step 4: Simplify right side
   89,270x = 19,130,762,596
5. Step 5: Solve for x
   x = 19,130,762,596/89,270
6. Step 6: Final answer
   x = 214,302.26