Finding the Third Proportional to 158,364 and 329,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,364 : 329,827.50 = 329,827.50 : x
2. Step 2: Convert to fraction form
   158,364/329,827.50 = 329,827.50/x
3. Step 3: Cross multiply
   158,364x = 329,827.50 × 329,827.50
4. Step 4: Simplify right side
   158,364x = 108,786,179,756.25
5. Step 5: Solve for x
   x = 108,786,179,756.25/158,364
6. Step 6: Final answer
   x = 686,937.56