Finding the Third Proportional to 138,723 and 187,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,723 : 187,114.50 = 187,114.50 : x
2. Step 2: Convert to fraction form
   138,723/187,114.50 = 187,114.50/x
3. Step 3: Cross multiply
   138,723x = 187,114.50 × 187,114.50
4. Step 4: Simplify right side
   138,723x = 35,011,836,110.25
5. Step 5: Solve for x
   x = 35,011,836,110.25/138,723
6. Step 6: Final answer
   x = 252,386.67