Finding the Third Proportional to 38,978 and 85,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,978 : 85,627.50 = 85,627.50 : x
2. Step 2: Convert to fraction form
   38,978/85,627.50 = 85,627.50/x
3. Step 3: Cross multiply
   38,978x = 85,627.50 × 85,627.50
4. Step 4: Simplify right side
   38,978x = 7,332,068,756.25
5. Step 5: Solve for x
   x = 7,332,068,756.25/38,978
6. Step 6: Final answer
   x = 188,107.88