Finding the Third Proportional to 105,964 and 230,152

Step by Step Solution

1. Step 1: Write the proportion equation
   105,964 : 230,152 = 230,152 : x
2. Step 2: Convert to fraction form
   105,964/230,152 = 230,152/x
3. Step 3: Cross multiply
   105,964x = 230,152 × 230,152
4. Step 4: Simplify right side
   105,964x = 52,969,943,104
5. Step 5: Solve for x
   x = 52,969,943,104/105,964
6. Step 6: Final answer
   x = 499,886.22