Finding the Third Proportional to 116,838 and 253,359

Step by Step Solution

1. Step 1: Write the proportion equation
   116,838 : 253,359 = 253,359 : x
2. Step 2: Convert to fraction form
   116,838/253,359 = 253,359/x
3. Step 3: Cross multiply
   116,838x = 253,359 × 253,359
4. Step 4: Simplify right side
   116,838x = 64,190,782,881
5. Step 5: Solve for x
   x = 64,190,782,881/116,838
6. Step 6: Final answer
   x = 549,399.88