Finding the Third Proportional to 194,751 and 294,232.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,751 : 294,232.50 = 294,232.50 : x
2. Step 2: Convert to fraction form
   194,751/294,232.50 = 294,232.50/x
3. Step 3: Cross multiply
   194,751x = 294,232.50 × 294,232.50
4. Step 4: Simplify right side
   194,751x = 86,572,764,056.25
5. Step 5: Solve for x
   x = 86,572,764,056.25/194,751
6. Step 6: Final answer
   x = 444,530.52