Finding the Third Proportional to 53,138 and 116,158

Step by Step Solution

1. Step 1: Write the proportion equation
   53,138 : 116,158 = 116,158 : x
2. Step 2: Convert to fraction form
   53,138/116,158 = 116,158/x
3. Step 3: Cross multiply
   53,138x = 116,158 × 116,158
4. Step 4: Simplify right side
   53,138x = 13,492,680,964
5. Step 5: Solve for x
   x = 13,492,680,964/53,138
6. Step 6: Final answer
   x = 253,917.74