Finding the Third Proportional to 40,415 and 87,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,415 : 87,824.50 = 87,824.50 : x
2. Step 2: Convert to fraction form
   40,415/87,824.50 = 87,824.50/x
3. Step 3: Cross multiply
   40,415x = 87,824.50 × 87,824.50
4. Step 4: Simplify right side
   40,415x = 7,713,142,800.25
5. Step 5: Solve for x
   x = 7,713,142,800.25/40,415
6. Step 6: Final answer
   x = 190,848.52