Finding the Third Proportional to 47,623 and 101,807

Step by Step Solution

1. Step 1: Write the proportion equation
   47,623 : 101,807 = 101,807 : x
2. Step 2: Convert to fraction form
   47,623/101,807 = 101,807/x
3. Step 3: Cross multiply
   47,623x = 101,807 × 101,807
4. Step 4: Simplify right side
   47,623x = 10,364,665,249
5. Step 5: Solve for x
   x = 10,364,665,249/47,623
6. Step 6: Final answer
   x = 217,639.91