Finding the Third Proportional to 107,106 and 233,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,106 : 233,893.50 = 233,893.50 : x
2. Step 2: Convert to fraction form
   107,106/233,893.50 = 233,893.50/x
3. Step 3: Cross multiply
   107,106x = 233,893.50 × 233,893.50
4. Step 4: Simplify right side
   107,106x = 54,706,169,342.25
5. Step 5: Solve for x
   x = 54,706,169,342.25/107,106
6. Step 6: Final answer
   x = 510,766.62