Finding the Third Proportional to 89,167 and 138,513

Step by Step Solution

1. Step 1: Write the proportion equation
   89,167 : 138,513 = 138,513 : x
2. Step 2: Convert to fraction form
   89,167/138,513 = 138,513/x
3. Step 3: Cross multiply
   89,167x = 138,513 × 138,513
4. Step 4: Simplify right side
   89,167x = 19,185,851,169
5. Step 5: Solve for x
   x = 19,185,851,169/89,167
6. Step 6: Final answer
   x = 215,167.62