Finding the Third Proportional to 69,846 and 146,538

Step by Step Solution

1. Step 1: Write the proportion equation
   69,846 : 146,538 = 146,538 : x
2. Step 2: Convert to fraction form
   69,846/146,538 = 146,538/x
3. Step 3: Cross multiply
   69,846x = 146,538 × 146,538
4. Step 4: Simplify right side
   69,846x = 21,473,385,444
5. Step 5: Solve for x
   x = 21,473,385,444/69,846
6. Step 6: Final answer
   x = 307,439.02