Finding the Third Proportional to 105,100 and 233,528

Step by Step Solution

1. Step 1: Write the proportion equation
   105,100 : 233,528 = 233,528 : x
2. Step 2: Convert to fraction form
   105,100/233,528 = 233,528/x
3. Step 3: Cross multiply
   105,100x = 233,528 × 233,528
4. Step 4: Simplify right side
   105,100x = 54,535,326,784
5. Step 5: Solve for x
   x = 54,535,326,784/105,100
6. Step 6: Final answer
   x = 518,889.88