Finding the Third Proportional to 105,864 and 227,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,864 : 227,077.50 = 227,077.50 : x
2. Step 2: Convert to fraction form
   105,864/227,077.50 = 227,077.50/x
3. Step 3: Cross multiply
   105,864x = 227,077.50 × 227,077.50
4. Step 4: Simplify right side
   105,864x = 51,564,191,006.25
5. Step 5: Solve for x
   x = 51,564,191,006.25/105,864
6. Step 6: Final answer
   x = 487,079.56