Finding the Third Proportional to 311,880 and 482,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,880 : 482,722.50 = 482,722.50 : x
2. Step 2: Convert to fraction form
   311,880/482,722.50 = 482,722.50/x
3. Step 3: Cross multiply
   311,880x = 482,722.50 × 482,722.50
4. Step 4: Simplify right side
   311,880x = 233,021,012,006.25
5. Step 5: Solve for x
   x = 233,021,012,006.25/311,880
6. Step 6: Final answer
   x = 747,149.58