Finding the Third Proportional to 463,467 and 620,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   463,467 : 620,752.50 = 620,752.50 : x
2. Step 2: Convert to fraction form
   463,467/620,752.50 = 620,752.50/x
3. Step 3: Cross multiply
   463,467x = 620,752.50 × 620,752.50
4. Step 4: Simplify right side
   463,467x = 385,333,666,256.25
5. Step 5: Solve for x
   x = 385,333,666,256.25/463,467
6. Step 6: Final answer
   x = 831,415.54