Finding the Third Proportional to 259,933 and 380,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,933 : 380,887.50 = 380,887.50 : x
2. Step 2: Convert to fraction form
   259,933/380,887.50 = 380,887.50/x
3. Step 3: Cross multiply
   259,933x = 380,887.50 × 380,887.50
4. Step 4: Simplify right side
   259,933x = 145,075,287,656.25
5. Step 5: Solve for x
   x = 145,075,287,656.25/259,933
6. Step 6: Final answer
   x = 558,125.70