Finding the Third Proportional to 89,334 and 191,624

Step by Step Solution

1. Step 1: Write the proportion equation
   89,334 : 191,624 = 191,624 : x
2. Step 2: Convert to fraction form
   89,334/191,624 = 191,624/x
3. Step 3: Cross multiply
   89,334x = 191,624 × 191,624
4. Step 4: Simplify right side
   89,334x = 36,719,757,376
5. Step 5: Solve for x
   x = 36,719,757,376/89,334
6. Step 6: Final answer
   x = 411,038.99