Finding the Third Proportional to 194,095.50 and 411,519

Step by Step Solution

1. Step 1: Write the proportion equation
   194,095.50 : 411,519 = 411,519 : x
2. Step 2: Convert to fraction form
   194,095.50/411,519 = 411,519/x
3. Step 3: Cross multiply
   194,095.50x = 411,519 × 411,519
4. Step 4: Simplify right side
   194,095.50x = 169,347,887,361
5. Step 5: Solve for x
   x = 169,347,887,361/194,095.50
6. Step 6: Final answer
   x = 872,497.75