Finding the Third Proportional to 107,102.25 and 233,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,102.25 : 233,887.50 = 233,887.50 : x
2. Step 2: Convert to fraction form
   107,102.25/233,887.50 = 233,887.50/x
3. Step 3: Cross multiply
   107,102.25x = 233,887.50 × 233,887.50
4. Step 4: Simplify right side
   107,102.25x = 54,703,362,656.25
5. Step 5: Solve for x
   x = 54,703,362,656.25/107,102.25
6. Step 6: Final answer
   x = 510,758.30