Finding the Third Proportional to 84,127.50 and 185,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,127.50 : 185,752.50 = 185,752.50 : x
2. Step 2: Convert to fraction form
   84,127.50/185,752.50 = 185,752.50/x
3. Step 3: Cross multiply
   84,127.50x = 185,752.50 × 185,752.50
4. Step 4: Simplify right side
   84,127.50x = 34,503,991,256.25
5. Step 5: Solve for x
   x = 34,503,991,256.25/84,127.50
6. Step 6: Final answer
   x = 410,139.27