Finding the Third Proportional to 334,911 and 468,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,911 : 468,460.50 = 468,460.50 : x
2. Step 2: Convert to fraction form
   334,911/468,460.50 = 468,460.50/x
3. Step 3: Cross multiply
   334,911x = 468,460.50 × 468,460.50
4. Step 4: Simplify right side
   334,911x = 219,455,240,060.25
5. Step 5: Solve for x
   x = 219,455,240,060.25/334,911
6. Step 6: Final answer
   x = 655,264.35