Finding the Third Proportional to 413,388 and 620,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,388 : 620,077.50 = 620,077.50 : x
2. Step 2: Convert to fraction form
   413,388/620,077.50 = 620,077.50/x
3. Step 3: Cross multiply
   413,388x = 620,077.50 × 620,077.50
4. Step 4: Simplify right side
   413,388x = 384,496,106,006.25
5. Step 5: Solve for x
   x = 384,496,106,006.25/413,388
6. Step 6: Final answer
   x = 930,109.50