Finding the Third Proportional to 116,046 and 253,226

Step by Step Solution

1. Step 1: Write the proportion equation
   116,046 : 253,226 = 253,226 : x
2. Step 2: Convert to fraction form
   116,046/253,226 = 253,226/x
3. Step 3: Cross multiply
   116,046x = 253,226 × 253,226
4. Step 4: Simplify right side
   116,046x = 64,123,407,076
5. Step 5: Solve for x
   x = 64,123,407,076/116,046
6. Step 6: Final answer
   x = 552,568.87