Finding the Third Proportional to 82,746.50 and 178,616

Step by Step Solution

1. Step 1: Write the proportion equation
   82,746.50 : 178,616 = 178,616 : x
2. Step 2: Convert to fraction form
   82,746.50/178,616 = 178,616/x
3. Step 3: Cross multiply
   82,746.50x = 178,616 × 178,616
4. Step 4: Simplify right side
   82,746.50x = 31,903,675,456
5. Step 5: Solve for x
   x = 31,903,675,456/82,746.50
6. Step 6: Final answer
   x = 385,559.21