Finding the Third Proportional to 777,197,784 and 1,111,401,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   777,197,784 : 1,111,401,367.50 = 1,111,401,367.50 : x
2. Step 2: Convert to fraction form
   777,197,784/1,111,401,367.50 = 1,111,401,367.50/x
3. Step 3: Cross multiply
   777,197,784x = 1,111,401,367.50 × 1,111,401,367.50
4. Step 4: Simplify right side
   777,197,784x = 1,235,212,999,680,870,144
5. Step 5: Solve for x
   x = 1,235,212,999,680,870,144/777,197,784
6. Step 6: Final answer
   x = 1,589,316,162.64