Finding the Third Proportional to 145,801 and 186,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,801 : 186,301.50 = 186,301.50 : x
2. Step 2: Convert to fraction form
   145,801/186,301.50 = 186,301.50/x
3. Step 3: Cross multiply
   145,801x = 186,301.50 × 186,301.50
4. Step 4: Simplify right side
   145,801x = 34,708,248,902.25
5. Step 5: Solve for x
   x = 34,708,248,902.25/145,801
6. Step 6: Final answer
   x = 238,052.20