Finding the Third Proportional to 69,382 and 146,014

Step by Step Solution

1. Step 1: Write the proportion equation
   69,382 : 146,014 = 146,014 : x
2. Step 2: Convert to fraction form
   69,382/146,014 = 146,014/x
3. Step 3: Cross multiply
   69,382x = 146,014 × 146,014
4. Step 4: Simplify right side
   69,382x = 21,320,088,196
5. Step 5: Solve for x
   x = 21,320,088,196/69,382
6. Step 6: Final answer
   x = 307,285.58