Finding the Third Proportional to 91,773 and 194,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,773 : 194,575.50 = 194,575.50 : x
2. Step 2: Convert to fraction form
   91,773/194,575.50 = 194,575.50/x
3. Step 3: Cross multiply
   91,773x = 194,575.50 × 194,575.50
4. Step 4: Simplify right side
   91,773x = 37,859,625,200.25
5. Step 5: Solve for x
   x = 37,859,625,200.25/91,773
6. Step 6: Final answer
   x = 412,535.55