Finding the Third Proportional to 85,383 and 122,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,383 : 122,980.50 = 122,980.50 : x
2. Step 2: Convert to fraction form
   85,383/122,980.50 = 122,980.50/x
3. Step 3: Cross multiply
   85,383x = 122,980.50 × 122,980.50
4. Step 4: Simplify right side
   85,383x = 15,124,203,380.25
5. Step 5: Solve for x
   x = 15,124,203,380.25/85,383
6. Step 6: Final answer
   x = 177,133.66