Finding the Third Proportional to 176,949 and 384,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,949 : 384,997.50 = 384,997.50 : x
2. Step 2: Convert to fraction form
   176,949/384,997.50 = 384,997.50/x
3. Step 3: Cross multiply
   176,949x = 384,997.50 × 384,997.50
4. Step 4: Simplify right side
   176,949x = 148,223,075,006.25
5. Step 5: Solve for x
   x = 148,223,075,006.25/176,949
6. Step 6: Final answer
   x = 837,659.86