Finding the Third Proportional to 311,601 and 508,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,601 : 508,762.50 = 508,762.50 : x
2. Step 2: Convert to fraction form
   311,601/508,762.50 = 508,762.50/x
3. Step 3: Cross multiply
   311,601x = 508,762.50 × 508,762.50
4. Step 4: Simplify right side
   311,601x = 258,839,281,406.25
5. Step 5: Solve for x
   x = 258,839,281,406.25/311,601
6. Step 6: Final answer
   x = 830,675.39