Finding the Third Proportional to 83,122 and 178,154

Step by Step Solution

1. Step 1: Write the proportion equation
   83,122 : 178,154 = 178,154 : x
2. Step 2: Convert to fraction form
   83,122/178,154 = 178,154/x
3. Step 3: Cross multiply
   83,122x = 178,154 × 178,154
4. Step 4: Simplify right side
   83,122x = 31,738,847,716
5. Step 5: Solve for x
   x = 31,738,847,716/83,122
6. Step 6: Final answer
   x = 381,834.50