Finding the Third Proportional to 91,166 and 138,007

Step by Step Solution

1. Step 1: Write the proportion equation
   91,166 : 138,007 = 138,007 : x
2. Step 2: Convert to fraction form
   91,166/138,007 = 138,007/x
3. Step 3: Cross multiply
   91,166x = 138,007 × 138,007
4. Step 4: Simplify right side
   91,166x = 19,045,932,049
5. Step 5: Solve for x
   x = 19,045,932,049/91,166
6. Step 6: Final answer
   x = 208,914.86