Finding the Third Proportional to 86,276 and 137,736

Step by Step Solution

1. Step 1: Write the proportion equation
   86,276 : 137,736 = 137,736 : x
2. Step 2: Convert to fraction form
   86,276/137,736 = 137,736/x
3. Step 3: Cross multiply
   86,276x = 137,736 × 137,736
4. Step 4: Simplify right side
   86,276x = 18,971,205,696
5. Step 5: Solve for x
   x = 18,971,205,696/86,276
6. Step 6: Final answer
   x = 219,889.72