Finding the Third Proportional to 181,710 and 278,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,710 : 278,923.50 = 278,923.50 : x
2. Step 2: Convert to fraction form
   181,710/278,923.50 = 278,923.50/x
3. Step 3: Cross multiply
   181,710x = 278,923.50 × 278,923.50
4. Step 4: Simplify right side
   181,710x = 77,798,318,852.25
5. Step 5: Solve for x
   x = 77,798,318,852.25/181,710
6. Step 6: Final answer
   x = 428,145.50