Finding the Third Proportional to 100,865 and 133,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,865 : 133,799.50 = 133,799.50 : x
2. Step 2: Convert to fraction form
   100,865/133,799.50 = 133,799.50/x
3. Step 3: Cross multiply
   100,865x = 133,799.50 × 133,799.50
4. Step 4: Simplify right side
   100,865x = 17,902,306,200.25
5. Step 5: Solve for x
   x = 17,902,306,200.25/100,865
6. Step 6: Final answer
   x = 177,487.79