Finding the Third Proportional to 177,661 and 362,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,661 : 362,458.50 = 362,458.50 : x
2. Step 2: Convert to fraction form
   177,661/362,458.50 = 362,458.50/x
3. Step 3: Cross multiply
   177,661x = 362,458.50 × 362,458.50
4. Step 4: Simplify right side
   177,661x = 131,376,164,222.25
5. Step 5: Solve for x
   x = 131,376,164,222.25/177,661
6. Step 6: Final answer
   x = 739,476.67