Finding the Third Proportional to 314,991 and 691,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,991 : 691,222.50 = 691,222.50 : x
2. Step 2: Convert to fraction form
   314,991/691,222.50 = 691,222.50/x
3. Step 3: Cross multiply
   314,991x = 691,222.50 × 691,222.50
4. Step 4: Simplify right side
   314,991x = 477,788,544,506.25
5. Step 5: Solve for x
   x = 477,788,544,506.25/314,991
6. Step 6: Final answer
   x = 1,516,832.37