Finding the Third Proportional to 296,706 and 438,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,706 : 438,538.50 = 438,538.50 : x
2. Step 2: Convert to fraction form
   296,706/438,538.50 = 438,538.50/x
3. Step 3: Cross multiply
   296,706x = 438,538.50 × 438,538.50
4. Step 4: Simplify right side
   296,706x = 192,316,015,982.25
5. Step 5: Solve for x
   x = 192,316,015,982.25/296,706
6. Step 6: Final answer
   x = 648,170.30