Finding the Third Proportional to 91,388 and 138,054

Step by Step Solution

1. Step 1: Write the proportion equation
   91,388 : 138,054 = 138,054 : x
2. Step 2: Convert to fraction form
   91,388/138,054 = 138,054/x
3. Step 3: Cross multiply
   91,388x = 138,054 × 138,054
4. Step 4: Simplify right side
   91,388x = 19,058,906,916
5. Step 5: Solve for x
   x = 19,058,906,916/91,388
6. Step 6: Final answer
   x = 208,549.34