Finding the Third Proportional to 46,368 and 95,040

Step by Step Solution

1. Step 1: Write the proportion equation
   46,368 : 95,040 = 95,040 : x
2. Step 2: Convert to fraction form
   46,368/95,040 = 95,040/x
3. Step 3: Cross multiply
   46,368x = 95,040 × 95,040
4. Step 4: Simplify right side
   46,368x = 9,032,601,600
5. Step 5: Solve for x
   x = 9,032,601,600/46,368
6. Step 6: Final answer
   x = 194,802.48