Finding the Third Proportional to 82,224 and 123,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,224 : 123,005.25 = 123,005.25 : x
2. Step 2: Convert to fraction form
   82,224/123,005.25 = 123,005.25/x
3. Step 3: Cross multiply
   82,224x = 123,005.25 × 123,005.25
4. Step 4: Simplify right side
   82,224x = 15,130,291,527.56
5. Step 5: Solve for x
   x = 15,130,291,527.56/82,224
6. Step 6: Final answer
   x = 184,013.08