Finding the Third Proportional to 83,594 and 180,250

Step by Step Solution

1. Step 1: Write the proportion equation
   83,594 : 180,250 = 180,250 : x
2. Step 2: Convert to fraction form
   83,594/180,250 = 180,250/x
3. Step 3: Cross multiply
   83,594x = 180,250 × 180,250
4. Step 4: Simplify right side
   83,594x = 32,490,062,500
5. Step 5: Solve for x
   x = 32,490,062,500/83,594
6. Step 6: Final answer
   x = 388,665.01