Finding the Third Proportional to 174,984 and 263,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,984 : 263,143.50 = 263,143.50 : x
2. Step 2: Convert to fraction form
   174,984/263,143.50 = 263,143.50/x
3. Step 3: Cross multiply
   174,984x = 263,143.50 × 263,143.50
4. Step 4: Simplify right side
   174,984x = 69,244,501,592.25
5. Step 5: Solve for x
   x = 69,244,501,592.25/174,984
6. Step 6: Final answer
   x = 395,719.05