Finding the Third Proportional to 333,742.50 and 691,140

Step by Step Solution

1. Step 1: Write the proportion equation
   333,742.50 : 691,140 = 691,140 : x
2. Step 2: Convert to fraction form
   333,742.50/691,140 = 691,140/x
3. Step 3: Cross multiply
   333,742.50x = 691,140 × 691,140
4. Step 4: Simplify right side
   333,742.50x = 477,674,499,600
5. Step 5: Solve for x
   x = 477,674,499,600/333,742.50
6. Step 6: Final answer
   x = 1,431,266.62