Finding the Third Proportional to 307,939.50 and 460,665

Step by Step Solution

1. Step 1: Write the proportion equation
   307,939.50 : 460,665 = 460,665 : x
2. Step 2: Convert to fraction form
   307,939.50/460,665 = 460,665/x
3. Step 3: Cross multiply
   307,939.50x = 460,665 × 460,665
4. Step 4: Simplify right side
   307,939.50x = 212,212,242,225
5. Step 5: Solve for x
   x = 212,212,242,225/307,939.50
6. Step 6: Final answer
   x = 689,136.15