Finding the Third Proportional to 47,785 and 103,364

Step by Step Solution

1. Step 1: Write the proportion equation
   47,785 : 103,364 = 103,364 : x
2. Step 2: Convert to fraction form
   47,785/103,364 = 103,364/x
3. Step 3: Cross multiply
   47,785x = 103,364 × 103,364
4. Step 4: Simplify right side
   47,785x = 10,684,116,496
5. Step 5: Solve for x
   x = 10,684,116,496/47,785
6. Step 6: Final answer
   x = 223,587.24