Finding the Third Proportional to 314,080 and 687,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,080 : 687,971.50 = 687,971.50 : x
2. Step 2: Convert to fraction form
   314,080/687,971.50 = 687,971.50/x
3. Step 3: Cross multiply
   314,080x = 687,971.50 × 687,971.50
4. Step 4: Simplify right side
   314,080x = 473,304,784,812.25
5. Step 5: Solve for x
   x = 473,304,784,812.25/314,080
6. Step 6: Final answer
   x = 1,506,956.14