Finding the Third Proportional to 83,106 and 178,884

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 178,884 = 178,884 : x
2. Step 2: Convert to fraction form
   83,106/178,884 = 178,884/x
3. Step 3: Cross multiply
   83,106x = 178,884 × 178,884
4. Step 4: Simplify right side
   83,106x = 31,999,485,456
5. Step 5: Solve for x
   x = 31,999,485,456/83,106
6. Step 6: Final answer
   x = 385,044.23