Finding the Third Proportional to 114,456 and 177,222

Step by Step Solution

1. Step 1: Write the proportion equation
   114,456 : 177,222 = 177,222 : x
2. Step 2: Convert to fraction form
   114,456/177,222 = 177,222/x
3. Step 3: Cross multiply
   114,456x = 177,222 × 177,222
4. Step 4: Simplify right side
   114,456x = 31,407,637,284
5. Step 5: Solve for x
   x = 31,407,637,284/114,456
6. Step 6: Final answer
   x = 274,407.96