Finding the Third Proportional to 83,454 and 185,566.13

Step by Step Solution

1. Step 1: Write the proportion equation
   83,454 : 185,566.13 = 185,566.13 : x
2. Step 2: Convert to fraction form
   83,454/185,566.13 = 185,566.13/x
3. Step 3: Cross multiply
   83,454x = 185,566.13 × 185,566.13
4. Step 4: Simplify right side
   83,454x = 34,434,786,747.52
5. Step 5: Solve for x
   x = 34,434,786,747.52/83,454
6. Step 6: Final answer
   x = 412,619.97