Finding the Third Proportional to 138,588 and 193,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,588 : 193,087.50 = 193,087.50 : x
2. Step 2: Convert to fraction form
   138,588/193,087.50 = 193,087.50/x
3. Step 3: Cross multiply
   138,588x = 193,087.50 × 193,087.50
4. Step 4: Simplify right side
   138,588x = 37,282,782,656.25
5. Step 5: Solve for x
   x = 37,282,782,656.25/138,588
6. Step 6: Final answer
   x = 269,018.84