Finding the Third Proportional to 100,851 and 133,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,851 : 133,780.50 = 133,780.50 : x
2. Step 2: Convert to fraction form
   100,851/133,780.50 = 133,780.50/x
3. Step 3: Cross multiply
   100,851x = 133,780.50 × 133,780.50
4. Step 4: Simplify right side
   100,851x = 17,897,222,180.25
5. Step 5: Solve for x
   x = 17,897,222,180.25/100,851
6. Step 6: Final answer
   x = 177,462.02