Finding the Third Proportional to 55,946 and 109,056

Step by Step Solution

1. Step 1: Write the proportion equation
   55,946 : 109,056 = 109,056 : x
2. Step 2: Convert to fraction form
   55,946/109,056 = 109,056/x
3. Step 3: Cross multiply
   55,946x = 109,056 × 109,056
4. Step 4: Simplify right side
   55,946x = 11,893,211,136
5. Step 5: Solve for x
   x = 11,893,211,136/55,946
6. Step 6: Final answer
   x = 212,583.76