Finding the Third Proportional to 52,156 and 112,420

Step by Step Solution

1. Step 1: Write the proportion equation
   52,156 : 112,420 = 112,420 : x
2. Step 2: Convert to fraction form
   52,156/112,420 = 112,420/x
3. Step 3: Cross multiply
   52,156x = 112,420 × 112,420
4. Step 4: Simplify right side
   52,156x = 12,638,256,400
5. Step 5: Solve for x
   x = 12,638,256,400/52,156
6. Step 6: Final answer
   x = 242,316.44