Finding the Third Proportional to 91,511 and 194,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,511 : 194,685.50 = 194,685.50 : x
2. Step 2: Convert to fraction form
   91,511/194,685.50 = 194,685.50/x
3. Step 3: Cross multiply
   91,511x = 194,685.50 × 194,685.50
4. Step 4: Simplify right side
   91,511x = 37,902,443,910.25
5. Step 5: Solve for x
   x = 37,902,443,910.25/91,511
6. Step 6: Final answer
   x = 414,184.57