Finding the Third Proportional to 64,970 and 142,088

Step by Step Solution

1. Step 1: Write the proportion equation
   64,970 : 142,088 = 142,088 : x
2. Step 2: Convert to fraction form
   64,970/142,088 = 142,088/x
3. Step 3: Cross multiply
   64,970x = 142,088 × 142,088
4. Step 4: Simplify right side
   64,970x = 20,188,999,744
5. Step 5: Solve for x
   x = 20,188,999,744/64,970
6. Step 6: Final answer
   x = 310,743.42