Finding the Third Proportional to 334,719 and 468,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,719 : 468,166.50 = 468,166.50 : x
2. Step 2: Convert to fraction form
   334,719/468,166.50 = 468,166.50/x
3. Step 3: Cross multiply
   334,719x = 468,166.50 × 468,166.50
4. Step 4: Simplify right side
   334,719x = 219,179,871,722.25
5. Step 5: Solve for x
   x = 219,179,871,722.25/334,719
6. Step 6: Final answer
   x = 654,817.54