Finding the Third Proportional to 105,219 and 254,724.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,219 : 254,724.75 = 254,724.75 : x
2. Step 2: Convert to fraction form
   105,219/254,724.75 = 254,724.75/x
3. Step 3: Cross multiply
   105,219x = 254,724.75 × 254,724.75
4. Step 4: Simplify right side
   105,219x = 64,884,698,262.56
5. Step 5: Solve for x
   x = 64,884,698,262.56/105,219
6. Step 6: Final answer
   x = 616,663.32