Finding the Third Proportional to 135,978 and 294,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,978 : 294,554.50 = 294,554.50 : x
2. Step 2: Convert to fraction form
   135,978/294,554.50 = 294,554.50/x
3. Step 3: Cross multiply
   135,978x = 294,554.50 × 294,554.50
4. Step 4: Simplify right side
   135,978x = 86,762,353,470.25
5. Step 5: Solve for x
   x = 86,762,353,470.25/135,978
6. Step 6: Final answer
   x = 638,061.70