Finding the Third Proportional to 194,067.50 and 308,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,067.50 : 308,597.50 = 308,597.50 : x
2. Step 2: Convert to fraction form
   194,067.50/308,597.50 = 308,597.50/x
3. Step 3: Cross multiply
   194,067.50x = 308,597.50 × 308,597.50
4. Step 4: Simplify right side
   194,067.50x = 95,232,417,006.25
5. Step 5: Solve for x
   x = 95,232,417,006.25/194,067.50
6. Step 6: Final answer
   x = 490,718.01