Finding the Third Proportional to 83,510.37 and 185,655.80

Step by Step Solution

1. Step 1: Write the proportion equation
   83,510.37 : 185,655.80 = 185,655.80 : x
2. Step 2: Convert to fraction form
   83,510.37/185,655.80 = 185,655.80/x
3. Step 3: Cross multiply
   83,510.37x = 185,655.80 × 185,655.80
4. Step 4: Simplify right side
   83,510.37x = 34,468,074,913.29
5. Step 5: Solve for x
   x = 34,468,074,913.29/83,510.37
6. Step 6: Final answer
   x = 412,740.07