Finding the Third Proportional to 265,410 and 422,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,410 : 422,158.50 = 422,158.50 : x
2. Step 2: Convert to fraction form
   265,410/422,158.50 = 422,158.50/x
3. Step 3: Cross multiply
   265,410x = 422,158.50 × 422,158.50
4. Step 4: Simplify right side
   265,410x = 178,217,799,122.25
5. Step 5: Solve for x
   x = 178,217,799,122.25/265,410
6. Step 6: Final answer
   x = 671,481.10