Finding the Third Proportional to 137,410 and 298,316

Step by Step Solution

1. Step 1: Write the proportion equation
   137,410 : 298,316 = 298,316 : x
2. Step 2: Convert to fraction form
   137,410/298,316 = 298,316/x
3. Step 3: Cross multiply
   137,410x = 298,316 × 298,316
4. Step 4: Simplify right side
   137,410x = 88,992,435,856
5. Step 5: Solve for x
   x = 88,992,435,856/137,410
6. Step 6: Final answer
   x = 647,641.63