Finding the Third Proportional to 463,470 and 620,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   463,470 : 620,755.50 = 620,755.50 : x
2. Step 2: Convert to fraction form
   463,470/620,755.50 = 620,755.50/x
3. Step 3: Cross multiply
   463,470x = 620,755.50 × 620,755.50
4. Step 4: Simplify right side
   463,470x = 385,337,390,780.25
5. Step 5: Solve for x
   x = 385,337,390,780.25/463,470
6. Step 6: Final answer
   x = 831,418.19