Finding the Third Proportional to 89,748 and 191,160

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 191,160 = 191,160 : x
2. Step 2: Convert to fraction form
   89,748/191,160 = 191,160/x
3. Step 3: Cross multiply
   89,748x = 191,160 × 191,160
4. Step 4: Simplify right side
   89,748x = 36,542,145,600
5. Step 5: Solve for x
   x = 36,542,145,600/89,748
6. Step 6: Final answer
   x = 407,163.90