Finding the Third Proportional to 173,205 and 259,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,205 : 259,807.50 = 259,807.50 : x
2. Step 2: Convert to fraction form
   173,205/259,807.50 = 259,807.50/x
3. Step 3: Cross multiply
   173,205x = 259,807.50 × 259,807.50
4. Step 4: Simplify right side
   173,205x = 67,499,937,056.25
5. Step 5: Solve for x
   x = 67,499,937,056.25/173,205
6. Step 6: Final answer
   x = 389,711.25