Finding the Third Proportional to 138,827,424,654 and 195,499,605,880

Step by Step Solution

1. Step 1: Write the proportion equation
   138,827,424,654 : 195,499,605,880 = 195,499,605,880 : x
2. Step 2: Convert to fraction form
   138,827,424,654/195,499,605,880 = 195,499,605,880/x
3. Step 3: Cross multiply
   138,827,424,654x = 195,499,605,880 × 195,499,605,880
4. Step 4: Simplify right side
   138,827,424,654x = 38,220,095,899,235,333,963,776
5. Step 5: Solve for x
   x = 38,220,095,899,235,333,963,776/138,827,424,654
6. Step 6: Final answer
   x = 275,306,525,310.05