Finding the Third Proportional to 46,080 and 101,088

Step by Step Solution

1. Step 1: Write the proportion equation
   46,080 : 101,088 = 101,088 : x
2. Step 2: Convert to fraction form
   46,080/101,088 = 101,088/x
3. Step 3: Cross multiply
   46,080x = 101,088 × 101,088
4. Step 4: Simplify right side
   46,080x = 10,218,783,744
5. Step 5: Solve for x
   x = 10,218,783,744/46,080
6. Step 6: Final answer
   x = 221,761.80