Finding the Third Proportional to 52,824 and 112,120

Step by Step Solution

1. Step 1: Write the proportion equation
   52,824 : 112,120 = 112,120 : x
2. Step 2: Convert to fraction form
   52,824/112,120 = 112,120/x
3. Step 3: Cross multiply
   52,824x = 112,120 × 112,120
4. Step 4: Simplify right side
   52,824x = 12,570,894,400
5. Step 5: Solve for x
   x = 12,570,894,400/52,824
6. Step 6: Final answer
   x = 237,976.95