Finding the Third Proportional to 137,527.50 and 298,221

Step by Step Solution

1. Step 1: Write the proportion equation
   137,527.50 : 298,221 = 298,221 : x
2. Step 2: Convert to fraction form
   137,527.50/298,221 = 298,221/x
3. Step 3: Cross multiply
   137,527.50x = 298,221 × 298,221
4. Step 4: Simplify right side
   137,527.50x = 88,935,764,841
5. Step 5: Solve for x
   x = 88,935,764,841/137,527.50
6. Step 6: Final answer
   x = 646,676.23