Finding the Third Proportional to 462,591 and 738,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,591 : 738,166.50 = 738,166.50 : x
2. Step 2: Convert to fraction form
   462,591/738,166.50 = 738,166.50/x
3. Step 3: Cross multiply
   462,591x = 738,166.50 × 738,166.50
4. Step 4: Simplify right side
   462,591x = 544,889,781,722.25
5. Step 5: Solve for x
   x = 544,889,781,722.25/462,591
6. Step 6: Final answer
   x = 1,177,908.31