Finding the Third Proportional to 94,899 and 194,535

Step by Step Solution

1. Step 1: Write the proportion equation
   94,899 : 194,535 = 194,535 : x
2. Step 2: Convert to fraction form
   94,899/194,535 = 194,535/x
3. Step 3: Cross multiply
   94,899x = 194,535 × 194,535
4. Step 4: Simplify right side
   94,899x = 37,843,866,225
5. Step 5: Solve for x
   x = 37,843,866,225/94,899
6. Step 6: Final answer
   x = 398,780.45