Finding the Third Proportional to 64,705 and 137,185

Step by Step Solution

1. Step 1: Write the proportion equation
   64,705 : 137,185 = 137,185 : x
2. Step 2: Convert to fraction form
   64,705/137,185 = 137,185/x
3. Step 3: Cross multiply
   64,705x = 137,185 × 137,185
4. Step 4: Simplify right side
   64,705x = 18,819,724,225
5. Step 5: Solve for x
   x = 18,819,724,225/64,705
6. Step 6: Final answer
   x = 290,854.25