Finding the Third Proportional to 164,844.56 and 256,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,844.56 : 256,897.50 = 256,897.50 : x
2. Step 2: Convert to fraction form
   164,844.56/256,897.50 = 256,897.50/x
3. Step 3: Cross multiply
   164,844.56x = 256,897.50 × 256,897.50
4. Step 4: Simplify right side
   164,844.56x = 65,996,325,506.25
5. Step 5: Solve for x
   x = 65,996,325,506.25/164,844.56
6. Step 6: Final answer
   x = 400,354.88