Finding the Third Proportional to 106,810.50 and 233,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,810.50 : 233,569.50 = 233,569.50 : x
2. Step 2: Convert to fraction form
   106,810.50/233,569.50 = 233,569.50/x
3. Step 3: Cross multiply
   106,810.50x = 233,569.50 × 233,569.50
4. Step 4: Simplify right side
   106,810.50x = 54,554,711,330.25
5. Step 5: Solve for x
   x = 54,554,711,330.25/106,810.50
6. Step 6: Final answer
   x = 510,761.69