Finding the Third Proportional to 174,870 and 256,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,870 : 256,506.50 = 256,506.50 : x
2. Step 2: Convert to fraction form
   174,870/256,506.50 = 256,506.50/x
3. Step 3: Cross multiply
   174,870x = 256,506.50 × 256,506.50
4. Step 4: Simplify right side
   174,870x = 65,795,584,542.25
5. Step 5: Solve for x
   x = 65,795,584,542.25/174,870
6. Step 6: Final answer
   x = 376,254.27