Finding the Third Proportional to 311,973 and 470,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,973 : 470,752.50 = 470,752.50 : x
2. Step 2: Convert to fraction form
   311,973/470,752.50 = 470,752.50/x
3. Step 3: Cross multiply
   311,973x = 470,752.50 × 470,752.50
4. Step 4: Simplify right side
   311,973x = 221,607,916,256.25
5. Step 5: Solve for x
   x = 221,607,916,256.25/311,973
6. Step 6: Final answer
   x = 710,343.25