Finding the Third Proportional to 82,311 and 123,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,311 : 123,114.50 = 123,114.50 : x
2. Step 2: Convert to fraction form
   82,311/123,114.50 = 123,114.50/x
3. Step 3: Cross multiply
   82,311x = 123,114.50 × 123,114.50
4. Step 4: Simplify right side
   82,311x = 15,157,180,110.25
5. Step 5: Solve for x
   x = 15,157,180,110.25/82,311
6. Step 6: Final answer
   x = 184,145.26