Finding the Third Proportional to 261,702 and 392,541.75

Step by Step Solution

1. Step 1: Write the proportion equation
   261,702 : 392,541.75 = 392,541.75 : x
2. Step 2: Convert to fraction form
   261,702/392,541.75 = 392,541.75/x
3. Step 3: Cross multiply
   261,702x = 392,541.75 × 392,541.75
4. Step 4: Simplify right side
   261,702x = 154,089,025,493.06
5. Step 5: Solve for x
   x = 154,089,025,493.06/261,702
6. Step 6: Final answer
   x = 588,795.75