Finding the Third Proportional to 362,098 and 547,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,098 : 547,806.50 = 547,806.50 : x
2. Step 2: Convert to fraction form
   362,098/547,806.50 = 547,806.50/x
3. Step 3: Cross multiply
   362,098x = 547,806.50 × 547,806.50
4. Step 4: Simplify right side
   362,098x = 300,091,961,442.25
5. Step 5: Solve for x
   x = 300,091,961,442.25/362,098
6. Step 6: Final answer
   x = 828,758.96