Finding the Third Proportional to 194,724 and 409,100.63

Step by Step Solution

1. Step 1: Write the proportion equation
   194,724 : 409,100.63 = 409,100.63 : x
2. Step 2: Convert to fraction form
   194,724/409,100.63 = 409,100.63/x
3. Step 3: Cross multiply
   194,724x = 409,100.63 × 409,100.63
4. Step 4: Simplify right side
   194,724x = 167,363,321,375.39
5. Step 5: Solve for x
   x = 167,363,321,375.39/194,724
6. Step 6: Final answer
   x = 859,489.95