Finding the Third Proportional to 177,849 and 385,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,849 : 385,222.50 = 385,222.50 : x
2. Step 2: Convert to fraction form
   177,849/385,222.50 = 385,222.50/x
3. Step 3: Cross multiply
   177,849x = 385,222.50 × 385,222.50
4. Step 4: Simplify right side
   177,849x = 148,396,374,506.25
5. Step 5: Solve for x
   x = 148,396,374,506.25/177,849
6. Step 6: Final answer
   x = 834,395.33