Finding the Third Proportional to 53,820 and 115,002

Step by Step Solution

1. Step 1: Write the proportion equation
   53,820 : 115,002 = 115,002 : x
2. Step 2: Convert to fraction form
   53,820/115,002 = 115,002/x
3. Step 3: Cross multiply
   53,820x = 115,002 × 115,002
4. Step 4: Simplify right side
   53,820x = 13,225,460,004
5. Step 5: Solve for x
   x = 13,225,460,004/53,820
6. Step 6: Final answer
   x = 245,735.04