Finding the Third Proportional to 177,948 and 391,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,948 : 391,546.50 = 391,546.50 : x
2. Step 2: Convert to fraction form
   177,948/391,546.50 = 391,546.50/x
3. Step 3: Cross multiply
   177,948x = 391,546.50 × 391,546.50
4. Step 4: Simplify right side
   177,948x = 153,308,661,662.25
5. Step 5: Solve for x
   x = 153,308,661,662.25/177,948
6. Step 6: Final answer
   x = 861,536.30