Finding the Third Proportional to 91,166 and 137,964

Step by Step Solution

1. Step 1: Write the proportion equation
   91,166 : 137,964 = 137,964 : x
2. Step 2: Convert to fraction form
   91,166/137,964 = 137,964/x
3. Step 3: Cross multiply
   91,166x = 137,964 × 137,964
4. Step 4: Simplify right side
   91,166x = 19,034,065,296
5. Step 5: Solve for x
   x = 19,034,065,296/91,166
6. Step 6: Final answer
   x = 208,784.69