Finding the Third Proportional to 185,096.25 and 279,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,096.25 : 279,922.50 = 279,922.50 : x
2. Step 2: Convert to fraction form
   185,096.25/279,922.50 = 279,922.50/x
3. Step 3: Cross multiply
   185,096.25x = 279,922.50 × 279,922.50
4. Step 4: Simplify right side
   185,096.25x = 78,356,606,006.25
5. Step 5: Solve for x
   x = 78,356,606,006.25/185,096.25
6. Step 6: Final answer
   x = 423,328.98