Finding the Third Proportional to 462,145 and 618,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,145 : 618,153.50 = 618,153.50 : x
2. Step 2: Convert to fraction form
   462,145/618,153.50 = 618,153.50/x
3. Step 3: Cross multiply
   462,145x = 618,153.50 × 618,153.50
4. Step 4: Simplify right side
   462,145x = 382,113,749,562.25
5. Step 5: Solve for x
   x = 382,113,749,562.25/462,145
6. Step 6: Final answer
   x = 826,826.54