Finding the Third Proportional to 42,794 and 88,314

Step by Step Solution

1. Step 1: Write the proportion equation
   42,794 : 88,314 = 88,314 : x
2. Step 2: Convert to fraction form
   42,794/88,314 = 88,314/x
3. Step 3: Cross multiply
   42,794x = 88,314 × 88,314
4. Step 4: Simplify right side
   42,794x = 7,799,362,596
5. Step 5: Solve for x
   x = 7,799,362,596/42,794
6. Step 6: Final answer
   x = 182,253.65