Finding the Third Proportional to 89,046 and 191,952

Step by Step Solution

1. Step 1: Write the proportion equation
   89,046 : 191,952 = 191,952 : x
2. Step 2: Convert to fraction form
   89,046/191,952 = 191,952/x
3. Step 3: Cross multiply
   89,046x = 191,952 × 191,952
4. Step 4: Simplify right side
   89,046x = 36,845,570,304
5. Step 5: Solve for x
   x = 36,845,570,304/89,046
6. Step 6: Final answer
   x = 413,781.31