Finding the Third Proportional to 153,807 and 206,950.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,807 : 206,950.50 = 206,950.50 : x
2. Step 2: Convert to fraction form
   153,807/206,950.50 = 206,950.50/x
3. Step 3: Cross multiply
   153,807x = 206,950.50 × 206,950.50
4. Step 4: Simplify right side
   153,807x = 42,828,509,450.25
5. Step 5: Solve for x
   x = 42,828,509,450.25/153,807
6. Step 6: Final answer
   x = 278,456.18