Finding the Third Proportional to 138,390 and 176,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,390 : 176,833.50 = 176,833.50 : x
2. Step 2: Convert to fraction form
   138,390/176,833.50 = 176,833.50/x
3. Step 3: Cross multiply
   138,390x = 176,833.50 × 176,833.50
4. Step 4: Simplify right side
   138,390x = 31,270,086,722.25
5. Step 5: Solve for x
   x = 31,270,086,722.25/138,390
6. Step 6: Final answer
   x = 225,956.26