Finding the Third Proportional to 82,279 and 123,201.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,279 : 123,201.50 = 123,201.50 : x
2. Step 2: Convert to fraction form
   82,279/123,201.50 = 123,201.50/x
3. Step 3: Cross multiply
   82,279x = 123,201.50 × 123,201.50
4. Step 4: Simplify right side
   82,279x = 15,178,609,602.25
5. Step 5: Solve for x
   x = 15,178,609,602.25/82,279
6. Step 6: Final answer
   x = 184,477.32