Finding the Third Proportional to 152,399 and 334,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,399 : 334,964.50 = 334,964.50 : x
2. Step 2: Convert to fraction form
   152,399/334,964.50 = 334,964.50/x
3. Step 3: Cross multiply
   152,399x = 334,964.50 × 334,964.50
4. Step 4: Simplify right side
   152,399x = 112,201,216,260.25
5. Step 5: Solve for x
   x = 112,201,216,260.25/152,399
6. Step 6: Final answer
   x = 736,233.28