Finding the Third Proportional to 89,823 and 137,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,823 : 137,470.50 = 137,470.50 : x
2. Step 2: Convert to fraction form
   89,823/137,470.50 = 137,470.50/x
3. Step 3: Cross multiply
   89,823x = 137,470.50 × 137,470.50
4. Step 4: Simplify right side
   89,823x = 18,898,138,370.25
5. Step 5: Solve for x
   x = 18,898,138,370.25/89,823
6. Step 6: Final answer
   x = 210,393.09