Finding the Third Proportional to 47,645 and 103,594

Step by Step Solution

1. Step 1: Write the proportion equation
   47,645 : 103,594 = 103,594 : x
2. Step 2: Convert to fraction form
   47,645/103,594 = 103,594/x
3. Step 3: Cross multiply
   47,645x = 103,594 × 103,594
4. Step 4: Simplify right side
   47,645x = 10,731,716,836
5. Step 5: Solve for x
   x = 10,731,716,836/47,645
6. Step 6: Final answer
   x = 225,243.30