Finding the Third Proportional to 82,205.50 and 123,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,205.50 : 123,319.50 = 123,319.50 : x
2. Step 2: Convert to fraction form
   82,205.50/123,319.50 = 123,319.50/x
3. Step 3: Cross multiply
   82,205.50x = 123,319.50 × 123,319.50
4. Step 4: Simplify right side
   82,205.50x = 15,207,699,080.25
5. Step 5: Solve for x
   x = 15,207,699,080.25/82,205.50
6. Step 6: Final answer
   x = 184,996.13