Finding the Third Proportional to 46,570 and 100,522

Step by Step Solution

1. Step 1: Write the proportion equation
   46,570 : 100,522 = 100,522 : x
2. Step 2: Convert to fraction form
   46,570/100,522 = 100,522/x
3. Step 3: Cross multiply
   46,570x = 100,522 × 100,522
4. Step 4: Simplify right side
   46,570x = 10,104,672,484
5. Step 5: Solve for x
   x = 10,104,672,484/46,570
6. Step 6: Final answer
   x = 216,978.15