Finding the Third Proportional to 83,384 and 178,432

Step by Step Solution

1. Step 1: Write the proportion equation
   83,384 : 178,432 = 178,432 : x
2. Step 2: Convert to fraction form
   83,384/178,432 = 178,432/x
3. Step 3: Cross multiply
   83,384x = 178,432 × 178,432
4. Step 4: Simplify right side
   83,384x = 31,837,978,624
5. Step 5: Solve for x
   x = 31,837,978,624/83,384
6. Step 6: Final answer
   x = 381,823.59