Finding the Third Proportional to 178,740.50 and 262,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,740.50 : 262,096.50 = 262,096.50 : x
2. Step 2: Convert to fraction form
   178,740.50/262,096.50 = 262,096.50/x
3. Step 3: Cross multiply
   178,740.50x = 262,096.50 × 262,096.50
4. Step 4: Simplify right side
   178,740.50x = 68,694,575,312.25
5. Step 5: Solve for x
   x = 68,694,575,312.25/178,740.50
6. Step 6: Final answer
   x = 384,325.74