Finding the Third Proportional to 138,864 and 298,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,864 : 298,822.50 = 298,822.50 : x
2. Step 2: Convert to fraction form
   138,864/298,822.50 = 298,822.50/x
3. Step 3: Cross multiply
   138,864x = 298,822.50 × 298,822.50
4. Step 4: Simplify right side
   138,864x = 89,294,886,506.25
5. Step 5: Solve for x
   x = 89,294,886,506.25/138,864
6. Step 6: Final answer
   x = 643,038.42