Finding the Third Proportional to 107,370 and 233,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,370 : 233,188.50 = 233,188.50 : x
2. Step 2: Convert to fraction form
   107,370/233,188.50 = 233,188.50/x
3. Step 3: Cross multiply
   107,370x = 233,188.50 × 233,188.50
4. Step 4: Simplify right side
   107,370x = 54,376,876,532.25
5. Step 5: Solve for x
   x = 54,376,876,532.25/107,370
6. Step 6: Final answer
   x = 506,443.85