Finding the Third Proportional to 194,409 and 463,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,409 : 463,666.50 = 463,666.50 : x
2. Step 2: Convert to fraction form
   194,409/463,666.50 = 463,666.50/x
3. Step 3: Cross multiply
   194,409x = 463,666.50 × 463,666.50
4. Step 4: Simplify right side
   194,409x = 214,986,623,222.25
5. Step 5: Solve for x
   x = 214,986,623,222.25/194,409
6. Step 6: Final answer
   x = 1,105,847.07