Finding the Third Proportional to 133,022.25 and 157,626

Step by Step Solution

1. Step 1: Write the proportion equation
   133,022.25 : 157,626 = 157,626 : x
2. Step 2: Convert to fraction form
   133,022.25/157,626 = 157,626/x
3. Step 3: Cross multiply
   133,022.25x = 157,626 × 157,626
4. Step 4: Simplify right side
   133,022.25x = 24,845,955,876
5. Step 5: Solve for x
   x = 24,845,955,876/133,022.25
6. Step 6: Final answer
   x = 186,780.45