Finding the Third Proportional to 89,322 and 138,244

Step by Step Solution

1. Step 1: Write the proportion equation
   89,322 : 138,244 = 138,244 : x
2. Step 2: Convert to fraction form
   89,322/138,244 = 138,244/x
3. Step 3: Cross multiply
   89,322x = 138,244 × 138,244
4. Step 4: Simplify right side
   89,322x = 19,111,403,536
5. Step 5: Solve for x
   x = 19,111,403,536/89,322
6. Step 6: Final answer
   x = 213,960.77