Finding the Third Proportional to 52,096 and 112,832

Step by Step Solution

1. Step 1: Write the proportion equation
   52,096 : 112,832 = 112,832 : x
2. Step 2: Convert to fraction form
   52,096/112,832 = 112,832/x
3. Step 3: Cross multiply
   52,096x = 112,832 × 112,832
4. Step 4: Simplify right side
   52,096x = 12,731,060,224
5. Step 5: Solve for x
   x = 12,731,060,224/52,096
6. Step 6: Final answer
   x = 244,376.92