Finding the Third Proportional to 77,726 and 205,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,726 : 205,711.50 = 205,711.50 : x
2. Step 2: Convert to fraction form
   77,726/205,711.50 = 205,711.50/x
3. Step 3: Cross multiply
   77,726x = 205,711.50 × 205,711.50
4. Step 4: Simplify right side
   77,726x = 42,317,221,232.25
5. Step 5: Solve for x
   x = 42,317,221,232.25/77,726
6. Step 6: Final answer
   x = 544,441.00