Finding the Third Proportional to 115,185 and 177,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,185 : 177,697.50 = 177,697.50 : x
2. Step 2: Convert to fraction form
   115,185/177,697.50 = 177,697.50/x
3. Step 3: Cross multiply
   115,185x = 177,697.50 × 177,697.50
4. Step 4: Simplify right side
   115,185x = 31,576,401,506.25
5. Step 5: Solve for x
   x = 31,576,401,506.25/115,185
6. Step 6: Final answer
   x = 274,136.40