Finding the Third Proportional to 93,862 and 194,380

Step by Step Solution

1. Step 1: Write the proportion equation
   93,862 : 194,380 = 194,380 : x
2. Step 2: Convert to fraction form
   93,862/194,380 = 194,380/x
3. Step 3: Cross multiply
   93,862x = 194,380 × 194,380
4. Step 4: Simplify right side
   93,862x = 37,783,584,400
5. Step 5: Solve for x
   x = 37,783,584,400/93,862
6. Step 6: Final answer
   x = 402,543.99