Finding the Third Proportional to 154,767 and 208,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,767 : 208,810.50 = 208,810.50 : x
2. Step 2: Convert to fraction form
   154,767/208,810.50 = 208,810.50/x
3. Step 3: Cross multiply
   154,767x = 208,810.50 × 208,810.50
4. Step 4: Simplify right side
   154,767x = 43,601,824,910.25
5. Step 5: Solve for x
   x = 43,601,824,910.25/154,767
6. Step 6: Final answer
   x = 281,725.59