Finding the Third Proportional to 89,976,259,141 and 193,493,634,962

Step by Step Solution

1. Step 1: Write the proportion equation
   89,976,259,141 : 193,493,634,962 = 193,493,634,962 : x
2. Step 2: Convert to fraction form
   89,976,259,141/193,493,634,962 = 193,493,634,962/x
3. Step 3: Cross multiply
   89,976,259,141x = 193,493,634,962 × 193,493,634,962
4. Step 4: Simplify right side
   89,976,259,141x = 37,439,786,770,807,708,975,104
5. Step 5: Solve for x
   x = 37,439,786,770,807,708,975,104/89,976,259,141
6. Step 6: Final answer
   x = 416,107,394,642.14