Finding the Third Proportional to 76,269.75 and 178,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,269.75 : 178,168.50 = 178,168.50 : x
2. Step 2: Convert to fraction form
   76,269.75/178,168.50 = 178,168.50/x
3. Step 3: Cross multiply
   76,269.75x = 178,168.50 × 178,168.50
4. Step 4: Simplify right side
   76,269.75x = 31,744,014,392.25
5. Step 5: Solve for x
   x = 31,744,014,392.25/76,269.75
6. Step 6: Final answer
   x = 416,207.14