Finding the Third Proportional to 370,413 and 553,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   370,413 : 553,180.50 = 553,180.50 : x
2. Step 2: Convert to fraction form
   370,413/553,180.50 = 553,180.50/x
3. Step 3: Cross multiply
   370,413x = 553,180.50 × 553,180.50
4. Step 4: Simplify right side
   370,413x = 306,008,665,580.25
5. Step 5: Solve for x
   x = 306,008,665,580.25/370,413
6. Step 6: Final answer
   x = 826,128.31