Finding the Third Proportional to 300,516 and 429,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,516 : 429,706.50 = 429,706.50 : x
2. Step 2: Convert to fraction form
   300,516/429,706.50 = 429,706.50/x
3. Step 3: Cross multiply
   300,516x = 429,706.50 × 429,706.50
4. Step 4: Simplify right side
   300,516x = 184,647,676,142.25
5. Step 5: Solve for x
   x = 184,647,676,142.25/300,516
6. Step 6: Final answer
   x = 614,435.42