Finding the Third Proportional to 91,599 and 193,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,599 : 193,036.50 = 193,036.50 : x
2. Step 2: Convert to fraction form
   91,599/193,036.50 = 193,036.50/x
3. Step 3: Cross multiply
   91,599x = 193,036.50 × 193,036.50
4. Step 4: Simplify right side
   91,599x = 37,263,090,332.25
5. Step 5: Solve for x
   x = 37,263,090,332.25/91,599
6. Step 6: Final answer
   x = 406,806.74