Finding the Third Proportional to 430,029 and 645,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   430,029 : 645,205.50 = 645,205.50 : x
2. Step 2: Convert to fraction form
   430,029/645,205.50 = 645,205.50/x
3. Step 3: Cross multiply
   430,029x = 645,205.50 × 645,205.50
4. Step 4: Simplify right side
   430,029x = 416,290,137,230.25
5. Step 5: Solve for x
   x = 416,290,137,230.25/430,029
6. Step 6: Final answer
   x = 968,051.31