Finding the Third Proportional to 118,196 and 252,996

Step by Step Solution

1. Step 1: Write the proportion equation
   118,196 : 252,996 = 252,996 : x
2. Step 2: Convert to fraction form
   118,196/252,996 = 252,996/x
3. Step 3: Cross multiply
   118,196x = 252,996 × 252,996
4. Step 4: Simplify right side
   118,196x = 64,006,976,016
5. Step 5: Solve for x
   x = 64,006,976,016/118,196
6. Step 6: Final answer
   x = 541,532.51