Finding the Third Proportional to 69,258 and 105,345

Step by Step Solution

1. Step 1: Write the proportion equation
   69,258 : 105,345 = 105,345 : x
2. Step 2: Convert to fraction form
   69,258/105,345 = 105,345/x
3. Step 3: Cross multiply
   69,258x = 105,345 × 105,345
4. Step 4: Simplify right side
   69,258x = 11,097,569,025
5. Step 5: Solve for x
   x = 11,097,569,025/69,258
6. Step 6: Final answer
   x = 160,235.19