Finding the Third Proportional to 367,722 and 506,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   367,722 : 506,398.50 = 506,398.50 : x
2. Step 2: Convert to fraction form
   367,722/506,398.50 = 506,398.50/x
3. Step 3: Cross multiply
   367,722x = 506,398.50 × 506,398.50
4. Step 4: Simplify right side
   367,722x = 256,439,440,802.25
5. Step 5: Solve for x
   x = 256,439,440,802.25/367,722
6. Step 6: Final answer
   x = 697,373.13