Finding the Third Proportional to 138,827,428,992 and 195,499,611,666

Step by Step Solution

1. Step 1: Write the proportion equation
   138,827,428,992 : 195,499,611,666 = 195,499,611,666 : x
2. Step 2: Convert to fraction form
   138,827,428,992/195,499,611,666 = 195,499,611,666/x
3. Step 3: Cross multiply
   138,827,428,992x = 195,499,611,666 × 195,499,611,666
4. Step 4: Simplify right side
   138,827,428,992x = 38,220,098,161,556,802,502,656
5. Step 5: Solve for x
   x = 38,220,098,161,556,802,502,656/138,827,428,992
6. Step 6: Final answer
   x = 275,306,533,003.35