Finding the Third Proportional to 174,641 and 262,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,641 : 262,981.50 = 262,981.50 : x
2. Step 2: Convert to fraction form
   174,641/262,981.50 = 262,981.50/x
3. Step 3: Cross multiply
   174,641x = 262,981.50 × 262,981.50
4. Step 4: Simplify right side
   174,641x = 69,159,269,342.25
5. Step 5: Solve for x
   x = 69,159,269,342.25/174,641
6. Step 6: Final answer
   x = 396,008.21