Finding the Third Proportional to 82,096.50 and 122,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,096.50 : 122,962.50 = 122,962.50 : x
2. Step 2: Convert to fraction form
   82,096.50/122,962.50 = 122,962.50/x
3. Step 3: Cross multiply
   82,096.50x = 122,962.50 × 122,962.50
4. Step 4: Simplify right side
   82,096.50x = 15,119,776,406.25
5. Step 5: Solve for x
   x = 15,119,776,406.25/82,096.50
6. Step 6: Final answer
   x = 184,170.78