Finding the Third Proportional to 91,042.50 and 185,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,042.50 : 185,698.50 = 185,698.50 : x
2. Step 2: Convert to fraction form
   91,042.50/185,698.50 = 185,698.50/x
3. Step 3: Cross multiply
   91,042.50x = 185,698.50 × 185,698.50
4. Step 4: Simplify right side
   91,042.50x = 34,483,932,902.25
5. Step 5: Solve for x
   x = 34,483,932,902.25/91,042.50
6. Step 6: Final answer
   x = 378,767.42