Finding the Third Proportional to 81,527.50 and 178,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,527.50 : 178,494.50 = 178,494.50 : x
2. Step 2: Convert to fraction form
   81,527.50/178,494.50 = 178,494.50/x
3. Step 3: Cross multiply
   81,527.50x = 178,494.50 × 178,494.50
4. Step 4: Simplify right side
   81,527.50x = 31,860,286,530.25
5. Step 5: Solve for x
   x = 31,860,286,530.25/81,527.50
6. Step 6: Final answer
   x = 390,791.90