Finding the Third Proportional to 89,308 and 138,284

Step by Step Solution

1. Step 1: Write the proportion equation
   89,308 : 138,284 = 138,284 : x
2. Step 2: Convert to fraction form
   89,308/138,284 = 138,284/x
3. Step 3: Cross multiply
   89,308x = 138,284 × 138,284
4. Step 4: Simplify right side
   89,308x = 19,122,464,656
5. Step 5: Solve for x
   x = 19,122,464,656/89,308
6. Step 6: Final answer
   x = 214,118.16