Finding the Third Proportional to 319,354,064,144 and 687,144,069,180

Step by Step Solution

1. Step 1: Write the proportion equation
   319,354,064,144 : 687,144,069,180 = 687,144,069,180 : x
2. Step 2: Convert to fraction form
   319,354,064,144/687,144,069,180 = 687,144,069,180/x
3. Step 3: Cross multiply
   319,354,064,144x = 687,144,069,180 × 687,144,069,180
4. Step 4: Simplify right side
   319,354,064,144x = 472,166,971,809,248,632,111,104
5. Step 5: Solve for x
   x = 472,166,971,809,248,632,111,104/319,354,064,144
6. Step 6: Final answer
   x = 1,478,506,224,979.01