Finding the Third Proportional to 64,972 and 142,094

Step by Step Solution

1. Step 1: Write the proportion equation
   64,972 : 142,094 = 142,094 : x
2. Step 2: Convert to fraction form
   64,972/142,094 = 142,094/x
3. Step 3: Cross multiply
   64,972x = 142,094 × 142,094
4. Step 4: Simplify right side
   64,972x = 20,190,704,836
5. Step 5: Solve for x
   x = 20,190,704,836/64,972
6. Step 6: Final answer
   x = 310,760.09