Finding the Third Proportional to 56,381 and 89,209

Step by Step Solution

1. Step 1: Write the proportion equation
   56,381 : 89,209 = 89,209 : x
2. Step 2: Convert to fraction form
   56,381/89,209 = 89,209/x
3. Step 3: Cross multiply
   56,381x = 89,209 × 89,209
4. Step 4: Simplify right side
   56,381x = 7,958,245,681
5. Step 5: Solve for x
   x = 7,958,245,681/56,381
6. Step 6: Final answer
   x = 141,151.20