Finding the Third Proportional to 133,686 and 297,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,686 : 297,259.50 = 297,259.50 : x
2. Step 2: Convert to fraction form
   133,686/297,259.50 = 297,259.50/x
3. Step 3: Cross multiply
   133,686x = 297,259.50 × 297,259.50
4. Step 4: Simplify right side
   133,686x = 88,363,210,340.25
5. Step 5: Solve for x
   x = 88,363,210,340.25/133,686
6. Step 6: Final answer
   x = 660,975.80