Finding the Third Proportional to 91,808.50 and 194,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,808.50 : 194,643.50 = 194,643.50 : x
2. Step 2: Convert to fraction form
   91,808.50/194,643.50 = 194,643.50/x
3. Step 3: Cross multiply
   91,808.50x = 194,643.50 × 194,643.50
4. Step 4: Simplify right side
   91,808.50x = 37,886,092,092.25
5. Step 5: Solve for x
   x = 37,886,092,092.25/91,808.50
6. Step 6: Final answer
   x = 412,664.32