Finding the Third Proportional to 151,996.50 and 338,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,996.50 : 338,944.50 = 338,944.50 : x
2. Step 2: Convert to fraction form
   151,996.50/338,944.50 = 338,944.50/x
3. Step 3: Cross multiply
   151,996.50x = 338,944.50 × 338,944.50
4. Step 4: Simplify right side
   151,996.50x = 114,883,374,080.25
5. Step 5: Solve for x
   x = 114,883,374,080.25/151,996.50
6. Step 6: Final answer
   x = 755,829.08