Finding the Third Proportional to 41,730 and 85,884

Step by Step Solution

1. Step 1: Write the proportion equation
   41,730 : 85,884 = 85,884 : x
2. Step 2: Convert to fraction form
   41,730/85,884 = 85,884/x
3. Step 3: Cross multiply
   41,730x = 85,884 × 85,884
4. Step 4: Simplify right side
   41,730x = 7,376,061,456
5. Step 5: Solve for x
   x = 7,376,061,456/41,730
6. Step 6: Final answer
   x = 176,756.80