Finding the Third Proportional to 138,764 and 298,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,764 : 298,577.50 = 298,577.50 : x
2. Step 2: Convert to fraction form
   138,764/298,577.50 = 298,577.50/x
3. Step 3: Cross multiply
   138,764x = 298,577.50 × 298,577.50
4. Step 4: Simplify right side
   138,764x = 89,148,523,506.25
5. Step 5: Solve for x
   x = 89,148,523,506.25/138,764
6. Step 6: Final answer
   x = 642,447.06