Finding the Third Proportional to 153,787 and 206,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,787 : 206,929.50 = 206,929.50 : x
2. Step 2: Convert to fraction form
   153,787/206,929.50 = 206,929.50/x
3. Step 3: Cross multiply
   153,787x = 206,929.50 × 206,929.50
4. Step 4: Simplify right side
   153,787x = 42,819,817,970.25
5. Step 5: Solve for x
   x = 42,819,817,970.25/153,787
6. Step 6: Final answer
   x = 278,435.88