Finding the Third Proportional to 177,507 and 382,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,507 : 382,078.50 = 382,078.50 : x
2. Step 2: Convert to fraction form
   177,507/382,078.50 = 382,078.50/x
3. Step 3: Cross multiply
   177,507x = 382,078.50 × 382,078.50
4. Step 4: Simplify right side
   177,507x = 145,983,980,162.25
5. Step 5: Solve for x
   x = 145,983,980,162.25/177,507
6. Step 6: Final answer
   x = 822,412.53