Finding the Third Proportional to 107,316 and 233,152

Step by Step Solution

1. Step 1: Write the proportion equation
   107,316 : 233,152 = 233,152 : x
2. Step 2: Convert to fraction form
   107,316/233,152 = 233,152/x
3. Step 3: Cross multiply
   107,316x = 233,152 × 233,152
4. Step 4: Simplify right side
   107,316x = 54,359,855,104
5. Step 5: Solve for x
   x = 54,359,855,104/107,316
6. Step 6: Final answer
   x = 506,540.08