Finding the Third Proportional to 116,836 and 254,178

Step by Step Solution

1. Step 1: Write the proportion equation
   116,836 : 254,178 = 254,178 : x
2. Step 2: Convert to fraction form
   116,836/254,178 = 254,178/x
3. Step 3: Cross multiply
   116,836x = 254,178 × 254,178
4. Step 4: Simplify right side
   116,836x = 64,606,455,684
5. Step 5: Solve for x
   x = 64,606,455,684/116,836
6. Step 6: Final answer
   x = 552,967.03