Finding the Third Proportional to 83,432 and 178,735

Step by Step Solution

1. Step 1: Write the proportion equation
   83,432 : 178,735 = 178,735 : x
2. Step 2: Convert to fraction form
   83,432/178,735 = 178,735/x
3. Step 3: Cross multiply
   83,432x = 178,735 × 178,735
4. Step 4: Simplify right side
   83,432x = 31,946,200,225
5. Step 5: Solve for x
   x = 31,946,200,225/83,432
6. Step 6: Final answer
   x = 382,901.05