Finding the Third Proportional to 653,109,669 and 1,410,116,417

Step by Step Solution

1. Step 1: Write the proportion equation
   653,109,669 : 1,410,116,417 = 1,410,116,417 : x
2. Step 2: Convert to fraction form
   653,109,669/1,410,116,417 = 1,410,116,417/x
3. Step 3: Cross multiply
   653,109,669x = 1,410,116,417 × 1,410,116,417
4. Step 4: Simplify right side
   653,109,669x = 1,988,428,309,492,918,016
5. Step 5: Solve for x
   x = 1,988,428,309,492,918,016/653,109,669
6. Step 6: Final answer
   x = 3,044,555,001.82