Finding the Third Proportional to 782,123,232 and 1,698,767,488

Step by Step Solution

1. Step 1: Write the proportion equation
   782,123,232 : 1,698,767,488 = 1,698,767,488 : x
2. Step 2: Convert to fraction form
   782,123,232/1,698,767,488 = 1,698,767,488/x
3. Step 3: Cross multiply
   782,123,232x = 1,698,767,488 × 1,698,767,488
4. Step 4: Simplify right side
   782,123,232x = 2,885,810,978,285,830,144
5. Step 5: Solve for x
   x = 2,885,810,978,285,830,144/782,123,232
6. Step 6: Final answer
   x = 3,689,713,922.58