Finding the Third Proportional to 83,380 and 178,424

Step by Step Solution

1. Step 1: Write the proportion equation
   83,380 : 178,424 = 178,424 : x
2. Step 2: Convert to fraction form
   83,380/178,424 = 178,424/x
3. Step 3: Cross multiply
   83,380x = 178,424 × 178,424
4. Step 4: Simplify right side
   83,380x = 31,835,123,776
5. Step 5: Solve for x
   x = 31,835,123,776/83,380
6. Step 6: Final answer
   x = 381,807.67