Finding the Third Proportional to 249,914,947,968 and 380,719,601,595

Step by Step Solution

1. Step 1: Write the proportion equation
   249,914,947,968 : 380,719,601,595 = 380,719,601,595 : x
2. Step 2: Convert to fraction form
   249,914,947,968/380,719,601,595 = 380,719,601,595/x
3. Step 3: Cross multiply
   249,914,947,968x = 380,719,601,595 × 380,719,601,595
4. Step 4: Simplify right side
   249,914,947,968x = 144,947,415,038,655,532,630,016
5. Step 5: Solve for x
   x = 144,947,415,038,655,532,630,016/249,914,947,968
6. Step 6: Final answer
   x = 579,986,976,438.14