Finding the Third Proportional to 91,614 and 193,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,614 : 193,069.50 = 193,069.50 : x
2. Step 2: Convert to fraction form
   91,614/193,069.50 = 193,069.50/x
3. Step 3: Cross multiply
   91,614x = 193,069.50 × 193,069.50
4. Step 4: Simplify right side
   91,614x = 37,275,831,830.25
5. Step 5: Solve for x
   x = 37,275,831,830.25/91,614
6. Step 6: Final answer
   x = 406,879.21