Finding the Third Proportional to 83,120 and 178,146

Step by Step Solution

1. Step 1: Write the proportion equation
   83,120 : 178,146 = 178,146 : x
2. Step 2: Convert to fraction form
   83,120/178,146 = 178,146/x
3. Step 3: Cross multiply
   83,120x = 178,146 × 178,146
4. Step 4: Simplify right side
   83,120x = 31,735,997,316
5. Step 5: Solve for x
   x = 31,735,997,316/83,120
6. Step 6: Final answer
   x = 381,809.40