Finding the Third Proportional to 82,269 and 123,072.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,269 : 123,072.75 = 123,072.75 : x
2. Step 2: Convert to fraction form
   82,269/123,072.75 = 123,072.75/x
3. Step 3: Cross multiply
   82,269x = 123,072.75 × 123,072.75
4. Step 4: Simplify right side
   82,269x = 15,146,901,792.56
5. Step 5: Solve for x
   x = 15,146,901,792.56/82,269
6. Step 6: Final answer
   x = 184,114.33