Finding the Third Proportional to 133,057.50 and 290,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,057.50 : 290,698.50 = 290,698.50 : x
2. Step 2: Convert to fraction form
   133,057.50/290,698.50 = 290,698.50/x
3. Step 3: Cross multiply
   133,057.50x = 290,698.50 × 290,698.50
4. Step 4: Simplify right side
   133,057.50x = 84,505,617,902.25
5. Step 5: Solve for x
   x = 84,505,617,902.25/133,057.50
6. Step 6: Final answer
   x = 635,106.01