Finding the Third Proportional to 221,971.50 and 314,082

Step by Step Solution

1. Step 1: Write the proportion equation
   221,971.50 : 314,082 = 314,082 : x
2. Step 2: Convert to fraction form
   221,971.50/314,082 = 314,082/x
3. Step 3: Cross multiply
   221,971.50x = 314,082 × 314,082
4. Step 4: Simplify right side
   221,971.50x = 98,647,502,724
5. Step 5: Solve for x
   x = 98,647,502,724/221,971.50
6. Step 6: Final answer
   x = 444,415.17