Finding the Third Proportional to 432,591 and 645,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   432,591 : 645,298.50 = 645,298.50 : x
2. Step 2: Convert to fraction form
   432,591/645,298.50 = 645,298.50/x
3. Step 3: Cross multiply
   432,591x = 645,298.50 × 645,298.50
4. Step 4: Simplify right side
   432,591x = 416,410,154,102.25
5. Step 5: Solve for x
   x = 416,410,154,102.25/432,591
6. Step 6: Final answer
   x = 962,595.51