Finding the Third Proportional to 416,259 and 619,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,259 : 619,780.50 = 619,780.50 : x
2. Step 2: Convert to fraction form
   416,259/619,780.50 = 619,780.50/x
3. Step 3: Cross multiply
   416,259x = 619,780.50 × 619,780.50
4. Step 4: Simplify right side
   416,259x = 384,127,868,180.25
5. Step 5: Solve for x
   x = 384,127,868,180.25/416,259
6. Step 6: Final answer
   x = 922,809.76