Finding the Third Proportional to 88,752 and 193,056

Step by Step Solution

1. Step 1: Write the proportion equation
   88,752 : 193,056 = 193,056 : x
2. Step 2: Convert to fraction form
   88,752/193,056 = 193,056/x
3. Step 3: Cross multiply
   88,752x = 193,056 × 193,056
4. Step 4: Simplify right side
   88,752x = 37,270,619,136
5. Step 5: Solve for x
   x = 37,270,619,136/88,752
6. Step 6: Final answer
   x = 419,941.17