Finding the Third Proportional to 89,274 and 138,321

Step by Step Solution

1. Step 1: Write the proportion equation
   89,274 : 138,321 = 138,321 : x
2. Step 2: Convert to fraction form
   89,274/138,321 = 138,321/x
3. Step 3: Cross multiply
   89,274x = 138,321 × 138,321
4. Step 4: Simplify right side
   89,274x = 19,132,699,041
5. Step 5: Solve for x
   x = 19,132,699,041/89,274
6. Step 6: Final answer
   x = 214,314.35