Finding the Third Proportional to 47,596 and 112,546

Step by Step Solution

1. Step 1: Write the proportion equation
   47,596 : 112,546 = 112,546 : x
2. Step 2: Convert to fraction form
   47,596/112,546 = 112,546/x
3. Step 3: Cross multiply
   47,596x = 112,546 × 112,546
4. Step 4: Simplify right side
   47,596x = 12,666,602,116
5. Step 5: Solve for x
   x = 12,666,602,116/47,596
6. Step 6: Final answer
   x = 266,127.45