Finding the Third Proportional to 129,762 and 278,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,762 : 278,923.50 = 278,923.50 : x
2. Step 2: Convert to fraction form
   129,762/278,923.50 = 278,923.50/x
3. Step 3: Cross multiply
   129,762x = 278,923.50 × 278,923.50
4. Step 4: Simplify right side
   129,762x = 77,798,318,852.25
5. Step 5: Solve for x
   x = 77,798,318,852.25/129,762
6. Step 6: Final answer
   x = 599,546.24