Finding the Third Proportional to 138,150.50 and 202,692

Step by Step Solution

1. Step 1: Write the proportion equation
   138,150.50 : 202,692 = 202,692 : x
2. Step 2: Convert to fraction form
   138,150.50/202,692 = 202,692/x
3. Step 3: Cross multiply
   138,150.50x = 202,692 × 202,692
4. Step 4: Simplify right side
   138,150.50x = 41,084,046,864
5. Step 5: Solve for x
   x = 41,084,046,864/138,150.50
6. Step 6: Final answer
   x = 297,386.16