Finding the Third Proportional to 152,766 and 335,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,766 : 335,623.50 = 335,623.50 : x
2. Step 2: Convert to fraction form
   152,766/335,623.50 = 335,623.50/x
3. Step 3: Cross multiply
   152,766x = 335,623.50 × 335,623.50
4. Step 4: Simplify right side
   152,766x = 112,643,133,752.25
5. Step 5: Solve for x
   x = 112,643,133,752.25/152,766
6. Step 6: Final answer
   x = 737,357.36