Finding the Third Proportional to 257,937 and 417,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,937 : 417,865.50 = 417,865.50 : x
2. Step 2: Convert to fraction form
   257,937/417,865.50 = 417,865.50/x
3. Step 3: Cross multiply
   257,937x = 417,865.50 × 417,865.50
4. Step 4: Simplify right side
   257,937x = 174,611,576,090.25
5. Step 5: Solve for x
   x = 174,611,576,090.25/257,937
6. Step 6: Final answer
   x = 676,954.36