Finding the Third Proportional to 118,447 and 253,174

Step by Step Solution

1. Step 1: Write the proportion equation
   118,447 : 253,174 = 253,174 : x
2. Step 2: Convert to fraction form
   118,447/253,174 = 253,174/x
3. Step 3: Cross multiply
   118,447x = 253,174 × 253,174
4. Step 4: Simplify right side
   118,447x = 64,097,074,276
5. Step 5: Solve for x
   x = 64,097,074,276/118,447
6. Step 6: Final answer
   x = 541,145.61