Finding the Third Proportional to 138,633.75 and 193,158

Step by Step Solution

1. Step 1: Write the proportion equation
   138,633.75 : 193,158 = 193,158 : x
2. Step 2: Convert to fraction form
   138,633.75/193,158 = 193,158/x
3. Step 3: Cross multiply
   138,633.75x = 193,158 × 193,158
4. Step 4: Simplify right side
   138,633.75x = 37,310,012,964
5. Step 5: Solve for x
   x = 37,310,012,964/138,633.75
6. Step 6: Final answer
   x = 269,126.48