Finding the Third Proportional to 105,194 and 230,818

Step by Step Solution

1. Step 1: Write the proportion equation
   105,194 : 230,818 = 230,818 : x
2. Step 2: Convert to fraction form
   105,194/230,818 = 230,818/x
3. Step 3: Cross multiply
   105,194x = 230,818 × 230,818
4. Step 4: Simplify right side
   105,194x = 53,276,949,124
5. Step 5: Solve for x
   x = 53,276,949,124/105,194
6. Step 6: Final answer
   x = 506,463.76