Finding the Third Proportional to 311,982 and 463,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,982 : 463,384.50 = 463,384.50 : x
2. Step 2: Convert to fraction form
   311,982/463,384.50 = 463,384.50/x
3. Step 3: Cross multiply
   311,982x = 463,384.50 × 463,384.50
4. Step 4: Simplify right side
   311,982x = 214,725,194,840.25
5. Step 5: Solve for x
   x = 214,725,194,840.25/311,982
6. Step 6: Final answer
   x = 688,261.49