Finding the Third Proportional to 47,583 and 103,124

Step by Step Solution

1. Step 1: Write the proportion equation
   47,583 : 103,124 = 103,124 : x
2. Step 2: Convert to fraction form
   47,583/103,124 = 103,124/x
3. Step 3: Cross multiply
   47,583x = 103,124 × 103,124
4. Step 4: Simplify right side
   47,583x = 10,634,559,376
5. Step 5: Solve for x
   x = 10,634,559,376/47,583
6. Step 6: Final answer
   x = 223,494.93