Finding the Third Proportional to 420,783 and 591,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   420,783 : 591,862.50 = 591,862.50 : x
2. Step 2: Convert to fraction form
   420,783/591,862.50 = 591,862.50/x
3. Step 3: Cross multiply
   420,783x = 591,862.50 × 591,862.50
4. Step 4: Simplify right side
   420,783x = 350,301,218,906.25
5. Step 5: Solve for x
   x = 350,301,218,906.25/420,783
6. Step 6: Final answer
   x = 832,498.51