Finding the Third Proportional to 46,632 and 102,012

Step by Step Solution

1. Step 1: Write the proportion equation
   46,632 : 102,012 = 102,012 : x
2. Step 2: Convert to fraction form
   46,632/102,012 = 102,012/x
3. Step 3: Cross multiply
   46,632x = 102,012 × 102,012
4. Step 4: Simplify right side
   46,632x = 10,406,448,144
5. Step 5: Solve for x
   x = 10,406,448,144/46,632
6. Step 6: Final answer
   x = 223,161.09