Finding the Third Proportional to 76,405.50 and 166,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,405.50 : 166,093.50 = 166,093.50 : x
2. Step 2: Convert to fraction form
   76,405.50/166,093.50 = 166,093.50/x
3. Step 3: Cross multiply
   76,405.50x = 166,093.50 × 166,093.50
4. Step 4: Simplify right side
   76,405.50x = 27,587,050,742.25
5. Step 5: Solve for x
   x = 27,587,050,742.25/76,405.50
6. Step 6: Final answer
   x = 361,061.06