Finding the Third Proportional to 122,982 and 185,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,982 : 185,332.50 = 185,332.50 : x
2. Step 2: Convert to fraction form
   122,982/185,332.50 = 185,332.50/x
3. Step 3: Cross multiply
   122,982x = 185,332.50 × 185,332.50
4. Step 4: Simplify right side
   122,982x = 34,348,135,556.25
5. Step 5: Solve for x
   x = 34,348,135,556.25/122,982
6. Step 6: Final answer
   x = 279,294.01