Finding the Third Proportional to 82,353 and 111,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,353 : 111,864.50 = 111,864.50 : x
2. Step 2: Convert to fraction form
   82,353/111,864.50 = 111,864.50/x
3. Step 3: Cross multiply
   82,353x = 111,864.50 × 111,864.50
4. Step 4: Simplify right side
   82,353x = 12,513,666,360.25
5. Step 5: Solve for x
   x = 12,513,666,360.25/82,353
6. Step 6: Final answer
   x = 151,951.55