Finding the Third Proportional to 312,051 and 470,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,051 : 470,830.50 = 470,830.50 : x
2. Step 2: Convert to fraction form
   312,051/470,830.50 = 470,830.50/x
3. Step 3: Cross multiply
   312,051x = 470,830.50 × 470,830.50
4. Step 4: Simplify right side
   312,051x = 221,681,359,730.25
5. Step 5: Solve for x
   x = 221,681,359,730.25/312,051
6. Step 6: Final answer
   x = 710,401.06