Finding the Third Proportional to 194,459 and 291,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,459 : 291,871.50 = 291,871.50 : x
2. Step 2: Convert to fraction form
   194,459/291,871.50 = 291,871.50/x
3. Step 3: Cross multiply
   194,459x = 291,871.50 × 291,871.50
4. Step 4: Simplify right side
   194,459x = 85,188,972,512.25
5. Step 5: Solve for x
   x = 85,188,972,512.25/194,459
6. Step 6: Final answer
   x = 438,081.92