Finding the Third Proportional to 102,279 and 218,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,279 : 218,773.50 = 218,773.50 : x
2. Step 2: Convert to fraction form
   102,279/218,773.50 = 218,773.50/x
3. Step 3: Cross multiply
   102,279x = 218,773.50 × 218,773.50
4. Step 4: Simplify right side
   102,279x = 47,861,844,302.25
5. Step 5: Solve for x
   x = 47,861,844,302.25/102,279
6. Step 6: Final answer
   x = 467,953.78