Finding the Third Proportional to 101,752 and 212,792

Step by Step Solution

1. Step 1: Write the proportion equation
   101,752 : 212,792 = 212,792 : x
2. Step 2: Convert to fraction form
   101,752/212,792 = 212,792/x
3. Step 3: Cross multiply
   101,752x = 212,792 × 212,792
4. Step 4: Simplify right side
   101,752x = 45,280,435,264
5. Step 5: Solve for x
   x = 45,280,435,264/101,752
6. Step 6: Final answer
   x = 445,007.82