Finding the Third Proportional to 693,201,834 and 1,076,824,314

Step by Step Solution

1. Step 1: Write the proportion equation
   693,201,834 : 1,076,824,314 = 1,076,824,314 : x
2. Step 2: Convert to fraction form
   693,201,834/1,076,824,314 = 1,076,824,314/x
3. Step 3: Cross multiply
   693,201,834x = 1,076,824,314 × 1,076,824,314
4. Step 4: Simplify right side
   693,201,834x = 1,159,550,603,221,570,560
5. Step 5: Solve for x
   x = 1,159,550,603,221,570,560/693,201,834
6. Step 6: Final answer
   x = 1,672,746,011.84