Finding the Third Proportional to 90,650 and 194,414

Step by Step Solution

1. Step 1: Write the proportion equation
   90,650 : 194,414 = 194,414 : x
2. Step 2: Convert to fraction form
   90,650/194,414 = 194,414/x
3. Step 3: Cross multiply
   90,650x = 194,414 × 194,414
4. Step 4: Simplify right side
   90,650x = 37,796,803,396
5. Step 5: Solve for x
   x = 37,796,803,396/90,650
6. Step 6: Final answer
   x = 416,953.15