Finding the Third Proportional to 138,145.50 and 185,621.63

Step by Step Solution

1. Step 1: Write the proportion equation
   138,145.50 : 185,621.63 = 185,621.63 : x
2. Step 2: Convert to fraction form
   138,145.50/185,621.63 = 185,621.63/x
3. Step 3: Cross multiply
   138,145.50x = 185,621.63 × 185,621.63
4. Step 4: Simplify right side
   138,145.50x = 34,455,387,667.64
5. Step 5: Solve for x
   x = 34,455,387,667.64/138,145.50
6. Step 6: Final answer
   x = 249,413.75