Finding the Third Proportional to 82,093.50 and 123,226.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,093.50 : 123,226.31 = 123,226.31 : x
2. Step 2: Convert to fraction form
   82,093.50/123,226.31 = 123,226.31/x
3. Step 3: Cross multiply
   82,093.50x = 123,226.31 × 123,226.31
4. Step 4: Simplify right side
   82,093.50x = 15,184,724,092.35
5. Step 5: Solve for x
   x = 15,184,724,092.35/82,093.50
6. Step 6: Final answer
   x = 184,968.65