Finding the Third Proportional to 86,401 and 123,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,401 : 123,553.50 = 123,553.50 : x
2. Step 2: Convert to fraction form
   86,401/123,553.50 = 123,553.50/x
3. Step 3: Cross multiply
   86,401x = 123,553.50 × 123,553.50
4. Step 4: Simplify right side
   86,401x = 15,265,467,362.25
5. Step 5: Solve for x
   x = 15,265,467,362.25/86,401
6. Step 6: Final answer
   x = 176,681.61