Finding the Third Proportional to 117,376 and 253,004

Step by Step Solution

1. Step 1: Write the proportion equation
   117,376 : 253,004 = 253,004 : x
2. Step 2: Convert to fraction form
   117,376/253,004 = 253,004/x
3. Step 3: Cross multiply
   117,376x = 253,004 × 253,004
4. Step 4: Simplify right side
   117,376x = 64,011,024,016
5. Step 5: Solve for x
   x = 64,011,024,016/117,376
6. Step 6: Final answer
   x = 545,350.19