Finding the Third Proportional to 64,793 and 137,290

Step by Step Solution

1. Step 1: Write the proportion equation
   64,793 : 137,290 = 137,290 : x
2. Step 2: Convert to fraction form
   64,793/137,290 = 137,290/x
3. Step 3: Cross multiply
   64,793x = 137,290 × 137,290
4. Step 4: Simplify right side
   64,793x = 18,848,544,100
5. Step 5: Solve for x
   x = 18,848,544,100/64,793
6. Step 6: Final answer
   x = 290,904.02