Finding the Third Proportional to 89,106 and 117,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,106 : 117,781.50 = 117,781.50 : x
2. Step 2: Convert to fraction form
   89,106/117,781.50 = 117,781.50/x
3. Step 3: Cross multiply
   89,106x = 117,781.50 × 117,781.50
4. Step 4: Simplify right side
   89,106x = 13,872,481,742.25
5. Step 5: Solve for x
   x = 13,872,481,742.25/89,106
6. Step 6: Final answer
   x = 155,685.16