Finding the Third Proportional to 52,820 and 116,008

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820 : 116,008 = 116,008 : x
2. Step 2: Convert to fraction form
   52,820/116,008 = 116,008/x
3. Step 3: Cross multiply
   52,820x = 116,008 × 116,008
4. Step 4: Simplify right side
   52,820x = 13,457,856,064
5. Step 5: Solve for x
   x = 13,457,856,064/52,820
6. Step 6: Final answer
   x = 254,787.13