Finding the Third Proportional to 40,224 and 88,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,224 : 88,378.50 = 88,378.50 : x
2. Step 2: Convert to fraction form
   40,224/88,378.50 = 88,378.50/x
3. Step 3: Cross multiply
   40,224x = 88,378.50 × 88,378.50
4. Step 4: Simplify right side
   40,224x = 7,810,759,262.25
5. Step 5: Solve for x
   x = 7,810,759,262.25/40,224
6. Step 6: Final answer
   x = 194,181.56