Finding the Third Proportional to 64,656 and 142,056

Step by Step Solution

1. Step 1: Write the proportion equation
   64,656 : 142,056 = 142,056 : x
2. Step 2: Convert to fraction form
   64,656/142,056 = 142,056/x
3. Step 3: Cross multiply
   64,656x = 142,056 × 142,056
4. Step 4: Simplify right side
   64,656x = 20,179,907,136
5. Step 5: Solve for x
   x = 20,179,907,136/64,656
6. Step 6: Final answer
   x = 312,111.90