Finding the Third Proportional to 83,122.50 and 111,399

Step by Step Solution

1. Step 1: Write the proportion equation
   83,122.50 : 111,399 = 111,399 : x
2. Step 2: Convert to fraction form
   83,122.50/111,399 = 111,399/x
3. Step 3: Cross multiply
   83,122.50x = 111,399 × 111,399
4. Step 4: Simplify right side
   83,122.50x = 12,409,737,201
5. Step 5: Solve for x
   x = 12,409,737,201/83,122.50
6. Step 6: Final answer
   x = 149,294.56