Finding the Third Proportional to 105,261 and 161,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,261 : 161,785.50 = 161,785.50 : x
2. Step 2: Convert to fraction form
   105,261/161,785.50 = 161,785.50/x
3. Step 3: Cross multiply
   105,261x = 161,785.50 × 161,785.50
4. Step 4: Simplify right side
   105,261x = 26,174,548,010.25
5. Step 5: Solve for x
   x = 26,174,548,010.25/105,261
6. Step 6: Final answer
   x = 248,663.30