Finding the Third Proportional to 82,770 and 178,658

Step by Step Solution

1. Step 1: Write the proportion equation
   82,770 : 178,658 = 178,658 : x
2. Step 2: Convert to fraction form
   82,770/178,658 = 178,658/x
3. Step 3: Cross multiply
   82,770x = 178,658 × 178,658
4. Step 4: Simplify right side
   82,770x = 31,918,680,964
5. Step 5: Solve for x
   x = 31,918,680,964/82,770
6. Step 6: Final answer
   x = 385,631.04