Finding the Third Proportional to 47,523 and 102,066

Step by Step Solution

1. Step 1: Write the proportion equation
   47,523 : 102,066 = 102,066 : x
2. Step 2: Convert to fraction form
   47,523/102,066 = 102,066/x
3. Step 3: Cross multiply
   47,523x = 102,066 × 102,066
4. Step 4: Simplify right side
   47,523x = 10,417,468,356
5. Step 5: Solve for x
   x = 10,417,468,356/47,523
6. Step 6: Final answer
   x = 219,208.98