Finding the Third Proportional to 46,534 and 101,870

Step by Step Solution

1. Step 1: Write the proportion equation
   46,534 : 101,870 = 101,870 : x
2. Step 2: Convert to fraction form
   46,534/101,870 = 101,870/x
3. Step 3: Cross multiply
   46,534x = 101,870 × 101,870
4. Step 4: Simplify right side
   46,534x = 10,377,496,900
5. Step 5: Solve for x
   x = 10,377,496,900/46,534
6. Step 6: Final answer
   x = 223,008.92