Finding the Third Proportional to 777,814.50 and 1,166,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   777,814.50 : 1,166,742.50 = 1,166,742.50 : x
2. Step 2: Convert to fraction form
   777,814.50/1,166,742.50 = 1,166,742.50/x
3. Step 3: Cross multiply
   777,814.50x = 1,166,742.50 × 1,166,742.50
4. Step 4: Simplify right side
   777,814.50x = 1,361,288,061,306.25
5. Step 5: Solve for x
   x = 1,361,288,061,306.25/777,814.50
6. Step 6: Final answer
   x = 1,750,144.88