Finding the Third Proportional to 86,586 and 138,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,586 : 138,322.50 = 138,322.50 : x
2. Step 2: Convert to fraction form
   86,586/138,322.50 = 138,322.50/x
3. Step 3: Cross multiply
   86,586x = 138,322.50 × 138,322.50
4. Step 4: Simplify right side
   86,586x = 19,133,114,006.25
5. Step 5: Solve for x
   x = 19,133,114,006.25/86,586
6. Step 6: Final answer
   x = 220,972.37