Finding the Third Proportional to 52,194 and 112,422

Step by Step Solution

1. Step 1: Write the proportion equation
   52,194 : 112,422 = 112,422 : x
2. Step 2: Convert to fraction form
   52,194/112,422 = 112,422/x
3. Step 3: Cross multiply
   52,194x = 112,422 × 112,422
4. Step 4: Simplify right side
   52,194x = 12,638,706,084
5. Step 5: Solve for x
   x = 12,638,706,084/52,194
6. Step 6: Final answer
   x = 242,148.64