Finding the Third Proportional to 105,899.63 and 233,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,899.63 : 233,122.50 = 233,122.50 : x
2. Step 2: Convert to fraction form
   105,899.63/233,122.50 = 233,122.50/x
3. Step 3: Cross multiply
   105,899.63x = 233,122.50 × 233,122.50
4. Step 4: Simplify right side
   105,899.63x = 54,346,100,006.25
5. Step 5: Solve for x
   x = 54,346,100,006.25/105,899.63
6. Step 6: Final answer
   x = 513,185.01