Finding the Third Proportional to 90,784.50 and 194,031

Step by Step Solution

1. Step 1: Write the proportion equation
   90,784.50 : 194,031 = 194,031 : x
2. Step 2: Convert to fraction form
   90,784.50/194,031 = 194,031/x
3. Step 3: Cross multiply
   90,784.50x = 194,031 × 194,031
4. Step 4: Simplify right side
   90,784.50x = 37,648,028,961
5. Step 5: Solve for x
   x = 37,648,028,961/90,784.50
6. Step 6: Final answer
   x = 414,696.66