Finding the Third Proportional to 52,820 and 117,448

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820 : 117,448 = 117,448 : x
2. Step 2: Convert to fraction form
   52,820/117,448 = 117,448/x
3. Step 3: Cross multiply
   52,820x = 117,448 × 117,448
4. Step 4: Simplify right side
   52,820x = 13,794,032,704
5. Step 5: Solve for x
   x = 13,794,032,704/52,820
6. Step 6: Final answer
   x = 261,151.70