Finding the Third Proportional to 312,117 and 470,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,117 : 470,386.50 = 470,386.50 : x
2. Step 2: Convert to fraction form
   312,117/470,386.50 = 470,386.50/x
3. Step 3: Cross multiply
   312,117x = 470,386.50 × 470,386.50
4. Step 4: Simplify right side
   312,117x = 221,263,459,382.25
5. Step 5: Solve for x
   x = 221,263,459,382.25/312,117
6. Step 6: Final answer
   x = 708,911.91