Finding the Third Proportional to 117,867.34 and 177,147

Step by Step Solution

1. Step 1: Write the proportion equation
   117,867.34 : 177,147 = 177,147 : x
2. Step 2: Convert to fraction form
   117,867.34/177,147 = 177,147/x
3. Step 3: Cross multiply
   117,867.34x = 177,147 × 177,147
4. Step 4: Simplify right side
   117,867.34x = 31,381,059,609
5. Step 5: Solve for x
   x = 31,381,059,609/117,867.34
6. Step 6: Final answer
   x = 266,240.50