Finding the Third Proportional to 70,824 and 103,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,824 : 103,684.50 = 103,684.50 : x
2. Step 2: Convert to fraction form
   70,824/103,684.50 = 103,684.50/x
3. Step 3: Cross multiply
   70,824x = 103,684.50 × 103,684.50
4. Step 4: Simplify right side
   70,824x = 10,750,475,540.25
5. Step 5: Solve for x
   x = 10,750,475,540.25/70,824
6. Step 6: Final answer
   x = 151,791.42