Finding the Third Proportional to 64,946 and 142,060

Step by Step Solution

1. Step 1: Write the proportion equation
   64,946 : 142,060 = 142,060 : x
2. Step 2: Convert to fraction form
   64,946/142,060 = 142,060/x
3. Step 3: Cross multiply
   64,946x = 142,060 × 142,060
4. Step 4: Simplify right side
   64,946x = 20,181,043,600
5. Step 5: Solve for x
   x = 20,181,043,600/64,946
6. Step 6: Final answer
   x = 310,735.74