Finding the Third Proportional to 261,627 and 392,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,627 : 392,440.50 = 392,440.50 : x
2. Step 2: Convert to fraction form
   261,627/392,440.50 = 392,440.50/x
3. Step 3: Cross multiply
   261,627x = 392,440.50 × 392,440.50
4. Step 4: Simplify right side
   261,627x = 154,009,546,040.25
5. Step 5: Solve for x
   x = 154,009,546,040.25/261,627
6. Step 6: Final answer
   x = 588,660.75