Finding the Third Proportional to 90,892.50 and 194,421

Step by Step Solution

1. Step 1: Write the proportion equation
   90,892.50 : 194,421 = 194,421 : x
2. Step 2: Convert to fraction form
   90,892.50/194,421 = 194,421/x
3. Step 3: Cross multiply
   90,892.50x = 194,421 × 194,421
4. Step 4: Simplify right side
   90,892.50x = 37,799,525,241
5. Step 5: Solve for x
   x = 37,799,525,241/90,892.50
6. Step 6: Final answer
   x = 415,870.67