Finding the Third Proportional to 91,026 and 186,426

Step by Step Solution

1. Step 1: Write the proportion equation
   91,026 : 186,426 = 186,426 : x
2. Step 2: Convert to fraction form
   91,026/186,426 = 186,426/x
3. Step 3: Cross multiply
   91,026x = 186,426 × 186,426
4. Step 4: Simplify right side
   91,026x = 34,754,653,476
5. Step 5: Solve for x
   x = 34,754,653,476/91,026
6. Step 6: Final answer
   x = 381,810.18