Finding the Third Proportional to 150,732 and 207,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,732 : 207,643.50 = 207,643.50 : x
2. Step 2: Convert to fraction form
   150,732/207,643.50 = 207,643.50/x
3. Step 3: Cross multiply
   150,732x = 207,643.50 × 207,643.50
4. Step 4: Simplify right side
   150,732x = 43,115,823,092.25
5. Step 5: Solve for x
   x = 43,115,823,092.25/150,732
6. Step 6: Final answer
   x = 286,042.93