Finding the Third Proportional to 91,012 and 186,560

Step by Step Solution

1. Step 1: Write the proportion equation
   91,012 : 186,560 = 186,560 : x
2. Step 2: Convert to fraction form
   91,012/186,560 = 186,560/x
3. Step 3: Cross multiply
   91,012x = 186,560 × 186,560
4. Step 4: Simplify right side
   91,012x = 34,804,633,600
5. Step 5: Solve for x
   x = 34,804,633,600/91,012
6. Step 6: Final answer
   x = 382,418.07