Finding the Third Proportional to 329,848 and 501,035

Step by Step Solution

1. Step 1: Write the proportion equation
   329,848 : 501,035 = 501,035 : x
2. Step 2: Convert to fraction form
   329,848/501,035 = 501,035/x
3. Step 3: Cross multiply
   329,848x = 501,035 × 501,035
4. Step 4: Simplify right side
   329,848x = 251,036,071,225
5. Step 5: Solve for x
   x = 251,036,071,225/329,848
6. Step 6: Final answer
   x = 761,065.92