Finding the Third Proportional to 334,870.50 and 510,168

Step by Step Solution

1. Step 1: Write the proportion equation
   334,870.50 : 510,168 = 510,168 : x
2. Step 2: Convert to fraction form
   334,870.50/510,168 = 510,168/x
3. Step 3: Cross multiply
   334,870.50x = 510,168 × 510,168
4. Step 4: Simplify right side
   334,870.50x = 260,271,388,224
5. Step 5: Solve for x
   x = 260,271,388,224/334,870.50
6. Step 6: Final answer
   x = 777,229.97