Finding the Third Proportional to 52,822 and 112,116

Step by Step Solution

1. Step 1: Write the proportion equation
   52,822 : 112,116 = 112,116 : x
2. Step 2: Convert to fraction form
   52,822/112,116 = 112,116/x
3. Step 3: Cross multiply
   52,822x = 112,116 × 112,116
4. Step 4: Simplify right side
   52,822x = 12,569,997,456
5. Step 5: Solve for x
   x = 12,569,997,456/52,822
6. Step 6: Final answer
   x = 237,968.98