Finding the Third Proportional to 290,835 and 434,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   290,835 : 434,497.50 = 434,497.50 : x
2. Step 2: Convert to fraction form
   290,835/434,497.50 = 434,497.50/x
3. Step 3: Cross multiply
   290,835x = 434,497.50 × 434,497.50
4. Step 4: Simplify right side
   290,835x = 188,788,077,506.25
5. Step 5: Solve for x
   x = 188,788,077,506.25/290,835
6. Step 6: Final answer
   x = 649,124.34