Finding the Third Proportional to 133,032 and 195,657.75

Step by Step Solution

1. Step 1: Write the proportion equation
   133,032 : 195,657.75 = 195,657.75 : x
2. Step 2: Convert to fraction form
   133,032/195,657.75 = 195,657.75/x
3. Step 3: Cross multiply
   133,032x = 195,657.75 × 195,657.75
4. Step 4: Simplify right side
   133,032x = 38,281,955,135.06
5. Step 5: Solve for x
   x = 38,281,955,135.06/133,032
6. Step 6: Final answer
   x = 287,765.01