Finding the Third Proportional to 107,109 and 233,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,109 : 233,272.50 = 233,272.50 : x
2. Step 2: Convert to fraction form
   107,109/233,272.50 = 233,272.50/x
3. Step 3: Cross multiply
   107,109x = 233,272.50 × 233,272.50
4. Step 4: Simplify right side
   107,109x = 54,416,059,256.25
5. Step 5: Solve for x
   x = 54,416,059,256.25/107,109
6. Step 6: Final answer
   x = 508,043.76