Finding the Third Proportional to 48,082 and 105,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,082 : 105,389.50 = 105,389.50 : x
2. Step 2: Convert to fraction form
   48,082/105,389.50 = 105,389.50/x
3. Step 3: Cross multiply
   48,082x = 105,389.50 × 105,389.50
4. Step 4: Simplify right side
   48,082x = 11,106,946,710.25
5. Step 5: Solve for x
   x = 11,106,946,710.25/48,082
6. Step 6: Final answer
   x = 231,000.10