Finding the Third Proportional to 319,354,064,139 and 687,144,069,171

Step by Step Solution

1. Step 1: Write the proportion equation
   319,354,064,139 : 687,144,069,171 = 687,144,069,171 : x
2. Step 2: Convert to fraction form
   319,354,064,139/687,144,069,171 = 687,144,069,171/x
3. Step 3: Cross multiply
   319,354,064,139x = 687,144,069,171 × 687,144,069,171
4. Step 4: Simplify right side
   319,354,064,139x = 472,166,971,796,880,065,822,720
5. Step 5: Solve for x
   x = 472,166,971,796,880,065,822,720/319,354,064,139
6. Step 6: Final answer
   x = 1,478,506,224,963.42