Finding the Third Proportional to 100,852 and 133,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,852 : 133,781.50 = 133,781.50 : x
2. Step 2: Convert to fraction form
   100,852/133,781.50 = 133,781.50/x
3. Step 3: Cross multiply
   100,852x = 133,781.50 × 133,781.50
4. Step 4: Simplify right side
   100,852x = 17,897,489,742.25
5. Step 5: Solve for x
   x = 17,897,489,742.25/100,852
6. Step 6: Final answer
   x = 177,462.91