Finding the Third Proportional to 327,972.50 and 492,971

Step by Step Solution

1. Step 1: Write the proportion equation
   327,972.50 : 492,971 = 492,971 : x
2. Step 2: Convert to fraction form
   327,972.50/492,971 = 492,971/x
3. Step 3: Cross multiply
   327,972.50x = 492,971 × 492,971
4. Step 4: Simplify right side
   327,972.50x = 243,020,406,841
5. Step 5: Solve for x
   x = 243,020,406,841/327,972.50
6. Step 6: Final answer
   x = 740,978.00