Finding the Third Proportional to 295,896 and 432,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,896 : 432,769.50 = 432,769.50 : x
2. Step 2: Convert to fraction form
   295,896/432,769.50 = 432,769.50/x
3. Step 3: Cross multiply
   295,896x = 432,769.50 × 432,769.50
4. Step 4: Simplify right side
   295,896x = 187,289,440,130.25
5. Step 5: Solve for x
   x = 187,289,440,130.25/295,896
6. Step 6: Final answer
   x = 632,956.99