Finding the Third Proportional to 42,777 and 88,264

Step by Step Solution

1. Step 1: Write the proportion equation
   42,777 : 88,264 = 88,264 : x
2. Step 2: Convert to fraction form
   42,777/88,264 = 88,264/x
3. Step 3: Cross multiply
   42,777x = 88,264 × 88,264
4. Step 4: Simplify right side
   42,777x = 7,790,533,696
5. Step 5: Solve for x
   x = 7,790,533,696/42,777
6. Step 6: Final answer
   x = 182,119.68